Paweł Nurowski - Publications

  1. "Exceptional simple real Lie algebras f4 and e6 via contactifications" J. Inst. Math. Jussieu (2024), 1-45, https://doi.org/10.1017/S1474748024000173
  2. "Homogeneous CR and Para-CR Structures in Dimension 5 and 3" The Journal of Geometric Analysis 34:27, (2024), https://doi.org/10.1007/s12220-023-01461-0, co-author: J. Merker
  3. "Ants and bracket generating distributions in dimensions 5 and 6" Automatica 147, (2023), 110693, https://doi.org/10.1016/j.automatica.2022.110693, co-author: A. Agrachev
  4. "Five-dimensional para-CR manifolds and contact projective geometry in dimension three", Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) vol. XXIV, (2023), 551-581, co-author: J. Merker
  5. "On Degenerate Para-CR Structures: Cartan Reduction and Homogeneous Models", Transformation Groups , (2022) https://doi.org/10.1007/s00031-022-09746-4, co-author: J. Merker
  6. "Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions", Geometria Dedicata , (2022) https://doi.org/10.1007/s10711-021-00665-4, co-authors: G. Bor, O. Makhmali
  7. "A car as parabolic geometry", in Geometry, Lie Theory and Aplications. Abel Symposium 2019 Abel Symposia 16, Springer Nature Switzerland, eds. S Hervik, B. Kruglikov, I. Markina, D. The, pp. 93-130, (2022), https://doi.org/10.1007/978-3-030-81296-6_6, co-author: C. D. Hill
  8. "Conformal Walker metrics and linear Fefferman-Graham equations", arXiv:1609.02371, Communications in Anal. Geom. , accepted 24.02.2022, co-authors: I. Anderson, Th. Leistner, A. Lischewski,
  9. "Poincare - Einstein approach to Penrose's Conformal Cyclic Cosmology", Class. Q. Grav. 38, 145004, (2021), https://doi.org/10.1088/1361-6382/ac0237
  10. "On certain classes of Sp(2,R) symmetric G2 structures", Ann. Glob. Anal. Geom. (2020), https://doi.org/10.1007/s10455-020-09747-0
  11. "The Geometry of Marked Contact Engel Structures", J. Geom. Anal. (2020), https://doi.org/10.1007/s12220-020-00545-5, coauthors: G. Manno, K. Sagerschnig
  12. "New explicit Lorentzian Einstein-Weyl structures in 3-dimensions", SIGMA 16, (2020), 056, 16 pages, https://www.emis.de/journals/SIGMA/2020/056/, coauthor J. Merker
  13. "Apparent evidence for Hawking points in the CMB Sky", Monthly Notices of the Royal Astronomical Society 495, 3403-3408, (2020), https://doi.org/10.1093/mnras/staa1343, coauthors: D. An, K. Meissner, R. Penrose
  14. "Aerodynamics of flying saucers", Commun. Math. Phys. 375, 2367-2387, (2020), doi: 10.1007/s00220-019-03622-1, https://link.springer.com/article/10.1007%2Fs00220-019-03622-1, coauthor M. Eastwood
  15. "Aerobatics of flying saucers", Commun. Math. Phys. 375, 2335-2365, (2020), doi: 10.1007/s00220-019-03621-2, https://link.springer.com/article/10.1007%2Fs00220-019-03621-2, coauthor M. Eastwood
  16. "Explicit ambient metrics and holonomy", J. Diff. Geom. 114, 193-242, (2020), doi:10.4310/jdg/1580526015, coauthors I. Anderson, Th. Leistner
  17. "Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric", J. Geom. Phys. 126, 93-100, (2018), DOI: https://doi.org/10.1016/j.geomphys.2018.01.009, coauthor D. An
  18. "The dancing metric, G2-symmetry and projective rolling", Transactions of the American Mathematical Society, 370, 4433-4481, (2018), DOI: https://doi.org/10.1090/tran/7277, coauthors G. Bor, L. H. Lamoneda
  19. "Ring-type structures in the Planck map of the CMB", Monthly Notices of the Royal Astronomical Society, 473, Issue 3, 3251-3255, (2018) coauthors D. An, K. Meissner
  20. "New relations between G2 geometries in dimensions 5 and 7", International Journal of Mathematics, 28, No 13, 1750094, doi.org/10.1142/S0129167X1750094X, (2017), coauthors: Th. Leistner, K. Sagerschnig
  21. "How the Green Light Was Given for Gravitational Wave Search", Notices of the American Mathematical Society, 64, Issue 7, 686-692, (2017) coauthor C. D. Hill
  22. "Conformal transformations and the beginning of the Universe", Physical Review D 95, Issue 8, 84016, 1-5, (2017) coauthor K. Meissner
  23. "Sp(3, R) Monge geometries in dimension 8", Differential Geometry and its Applications, 53, 1-55, (2017) coauthor I. Anderson
  24. "Generalised Ricci Solitons", J. Geom. Anal., 26:1280-1345, DOI 10.1007/s12220-015-9592-8 (2016), coauthor: M. Randall
  25. "A Goldberg-Sachs theorem in dimension three" Class. Quantum Grav. 32 115009 (2015), coauthor: A. Taghavi-Chabert
  26. "Non-Rigid Parabolic Geometries of Monge Type", Adv. Math. 277, 24-55, (2015), coauthors: I. Anderson, Zh. Nie
  27. "Analog of selfduality in dimension nine", J. Reine Angew. Math., 699, 67-110 (2015), coauthor: A. Fino
  28. "Twistor space for rolling bodies", Commun. Math. Phys., 326, 393-414 (2014), coauthor D. An
  29. "Calculus and invariants on almost complex manifolds, including projective and conformal geometry", Illinois Journal of Mathematics, 57, 383-427 (2013), coauthor A. R. Gover
  30. "Structures in the microwave background radiation" Proc. R. Soc. A 469 (2013), 20130116, doi: 10.1098/rspa.2013.0116, coauthors: B. Ruszczycki, K. Meissner
  31. "Ambient metrics with exceptional holonomy" Ann. Sc. Norm. Sup. (Pisa) XI (2012), 407--436, published in arxives as: "Conformal structures with G2 ambient metrics", arXiv:0904.0186, coauthor: Th Leistner
  32. "Conformal pure radiation with parallel rays", Class. Q. Grav. 29 (2012), 055007 (15pp), doi:10.1088/0264-9381/29/5/055007 , coauthor: Th. Leistner
  33. "Projective versus metric structures", J. Geom. Phys. 62 (2012) 657-674, DOI 10.1016/j.geomphys.2011.04.011
  34. "Sharp version of the Goldberg-Sachs theorem", Ann. Mat. Pura Appl. 190 (2011) 295-340, DOI 10.1007/s10231-010-0151-4, coauthors: C. D. Hill, A. R. Gover
  35. "Is dark energy meaningless?", Rend. Sem. Mat. Univ. Politec. Torino 68, (4) (2010), 361-367
  36. "GL(2,R) geometry of ODEs", J. Geom. Phys., 60 (2010) 991-1027, math.DG, arXiv: 0710.0297, coauthor: M Godlinski
  37. "Ambient metrics for n-dimensional pp-waves" Commun. Math. Phys. 296 (2010) 881-898, arxiv:0810.2903 (2008), coauthor: Th. Leistner
  38. "Differential equations and para-CR structures", Bollettino dell'Unione Matematica Italiana, (9) III (2010) 25-91, arXiv:0909.2458, coauthor: C. D. Hill
  39. "Construction of conjugate functions", Ann. Global Anal. Geom. 37, (2010) 321- 326, math.DG/0605745
  40. "Geometry of third order ODEs", (2009) arXiv: 0902.4129, coauthor: M Godlinski
  41. "Split octonions and Maxwell equations" Acta Phys. Polon. A, 116, (2009) 992-993
  42. "Intrinsic geometry of oriented congruences in three dimensions", J. Geom. Phys., 59 (2009) 133-172, coauthor: C D Hill
  43. "Comment on GL(2,R) geometry of 4th order ODEs", J. Geom. Phys., 59 (2009) 267-278
  44. "Distinguished dimensions for special Riemannian geometries", J. Geom. Phys., 58, (2008) 1148-1170
  45. "Einstein equations and the embedding of 3-dimensional CR manifolds", Ind. Univ. Math. Journ., 57, (2008) 3131-3176, coauthors: C D Hill, J Lewandowski
  46. "Conformal structures with explicit ambient metrics and conformal G2 holonomy", in Symmetries and Overdetermined System of Partial Differential Equations, IMA Volumes in Mathematics and its Applications, eds. M Eastwood, W Miller Jr, 144 515-526 (2008)
  47. "Twisting rays imply conformally periodic universes", Class. Q. Grav. 25 035014 (5pp), (2008), doi:10.1088/0264-9381/25/3/035014, coauthor: C D Hill
  48. "Twisting type N vacuums with cosmological constant", J. Geom. Phys. 58 615-618 (2008), doi:10.1016/j.geomphys.2007.12.010
  49. "Deforming a Lie algebra by means of a 2-form", J. Geom. Phys. 57 1325-1329 (2007)
  50. "Irreducible SO(3) geometry in dimension five", J. Reine Angew. Math. 605 (2007) 51-93, coauthor: M Bobienski
  51. "Special Riemannian geometries modelled on the distinguished symmetric spaces", Publ. RIMS 1502 (2006) 107-116
  52. "CR structures and asymptotically flat spaces", Class. Q. Grav., 23 (2006) 3123-3127, coauthor: E T Newman
  53. "On three-dimensional Weyl structures with reduced holonomy" Class. Q. Grav. 23 603-608 (2006) coauthor: M Godliński
  54. "Obstructions to conformally Einstein metrics in n dimensions" Journ. Geom. Phys. 56 450-484 (2006) coauthor: A R Gover
  55. "Third-order ODEs and four-dimensional split signature Einstain metrics" J Geom Phys 56 344-357 (2006), coauthor: Godliński M
  56. "Differential equations and conformal structures" J Geom Phys 55 19-49 (2005)
  57. "Conformal Lorentzian metrics on the spaces of curves and 2-surfaces" Class. Q. Grav. 20 3649-3659 (2003) coauthors: Fritelli S, Newman E T
  58. "3-dimensional CR structures and 2nd order ordinary differential equations" Class. Q. Grav 20 4995-5016 (2003) coauthor: Sparling G A J
  59. "Conformal Einstein equations and Cartan conformal connection" Class. Q. Grav. 20, 3029-3035 (2003) coauthors: Kozameh C, Newman E T
  60. "Projective connections associated with second order ODEs" Class. Q. Grav. 20, 2325-2335 (2003) coauthor: Newman E T
  61. "Robinson manifolds as the Lorentzian analogs of Hermite manifolds" Diff. Geom. Appl. 17, 175-195 (2002) coauthor: Trautman A
  62. "Cartan Normal Conformal Connections from Differential Equations" Class. Q. Grav. 19, 5235-5247 (2002) coauthors: Fritelli S, Kozameh C, Newman E T
  63. "Generalized forms and their applications" Class. Q. Grav. 19, 2425-2436 (2002) coauthor: Robinson D C
  64. "Conformal connection and equivalence problem for third order ODEs" International Journal of Modern Physics A17, 2770 (2002)
  65. "Generalized exterior forms, geometry and space-time" Class. Q. Grav. 18, L81-L86 (2001) coauthor: Robinson D C
  66. "Non-vacuum twisting type N metrics" Class. Q. Grav. 18, 341-351 (2001) coauthor: Plebański J F
  67. "Intrinsic geometry of a null hypersurface" Class. Q. Grav. 17, 4065-4084 (2000) coauthor: Robinson D C
  68. "Locally Sasakian manifolds" Class. Q. Grav. 17, L105-L115 (2000) coauthors: Godliński M, Kopczyński W
  69. ``Extension of bundles of null directions'' Class. Q. Gravity, 16, 255-279, (1999) coauthors: Robinson D C, Hughston L
  70. ``A Four Dimensional Example of Ricci Flat Metric Admitting Almost-Kahler Non-Kahler Structure'' Class. Q. Gravity, 16, L9-L13, (1999), Erwin Schrödinger Institute preprint 477, couathor: Przanowski M
  71. ``Elliptic Fibrations Associated with the Einstein Spacetimes'', Journ. Math. Phys. 39, 5481-5490 (1998), Erwin Schrödinger Institute preprint 464
  72. ``On a Certain Formulation of the Einstein Equations'', Journ. Math. Phys. 39, 5477-5480, (1998), Erwin Schrödinger Institute preprint 432
  73. ``Relativistic gravitational fields with close Newtonian analogs'', in On Einstein path, ed. A. Harvey, Springer (1999), coauthors: Schucking E, Trautman A
  74. ``Twistor bundles, Einstein equations and real structures'' Class. Q. Grav. 14, A261-A290 (1997)
  75. ``Optical geometries and related structures'' Journ. Geom. Phys., 18, 335-348 (1996)
  76. ``The spontaneous violation of the cosmological principle and the possible wave structures of the Universe'' Astrophys. Journ. 451, 10-23 (1995), coauthors: Budinich P, Rączka R, Ramella M
  77. ``Optical reference geometry for stationary and axially symmetric space-times'' Class. Q. Grav. 12, 1467-1472 (1995), coauthors: Abramowicz M, Wex N [ .pdf ]
  78. ``On the Geometry of Large-Scale Distribution of Galxies.'' Europhys. Lett. 30, 373-378 (1995), coauthors: Budinich P, Rączka R, Ramella M
  79. ``Robertson-Walker Universes from collision of plane waves'' SISSA preprint, SISSA Ref. 226/92/FM [ .ps ]
  80. ``Covariant definition of inertial forces'' Class. Q. Grav. 10, L183-L186 (1993) coauthors: Abramowicz M, Wex N [ .pdf ]
  81. ``New algebraically special solutions of the Einstein-Maxwell equations'' Class. Q. Grav. 9, 2069-2077 (1992) coauthor: Tafel J [ .pdf ]
  82. ``Some null solutions of the Yang-Mills equations in curved spacetimes and CR structures'' J. Math. Phys. 33, 802-807, 1992 (1992) [ .pdf ]
  83. ``Pure radiation field solutions of the Einstein equations'', Class. Q. Grav. 8, L83-L88 (1991), coauthors: Lewandowski J, Tafel J [ .pdf ]
  84. "Algebraically special solutions of the Einstein equations with pure radiation fields", Class. Q. Grav. 8, 493-501 (1991) coauthors: Lewandowski J, Tafel J [ .pdf ]
  85. ``Cartan's chains and Lorentz geometry'', J. Geom. Phys. 7, 63-80 (1990), coauthor: Lewandowski J
  86. ``Symmetries in predictive relativistic mechanics'', J. Math. Phys. 31, 2393-2398 (1990), coauthor: Droz-Vincent P
  87. ``Einstein equations and realizability of CR manifolds'', Class. Q. Grav. 7, L241-L246 (1990), coauthors: Lewandowski J, Tafel J
  88. ``Algebraically special twisting gravitational fields and 3-dimensional CR structures'', Class. Q. Grav. 7, 309-328 (1990), coauthor: Lewandowski J
  89. ``Symmetries of CR spaces'', Lett. Math. Phys. 15, 31-38 (1988), coauthor: Tafel J [ .pdf ]

    Master Thesis

    1. "Optical geometry associated with the Kerr metric" M. Sc. thesis (in Polish), Warsaw University (1987)
    2. "Gravitational and electromagnetic fields associated with shear-free congruences of null geodesics and CR structures" Magister Philosophiae thesis, International School for Advanced Studies in Trieste, (1991)

    Doctor Philosophiae thesis

    "Einstein equations and Cauchy-Riemann geometry" [ .ps ] International School for Advanced Studies, Trieste (1993)

    Review articles

    "Compact and noncompact quantum groups" [ .ps ] Lectures of S. L. Woronowicz, written by L. Dabrowski and P. Nurowski, SISSA preprint, Ref. SISSA 153/95/FM

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