杏吧直播

• Publications

  Publications and preprints
  
  My publications on , on , on and preprints on on the . Preprints

  • Conformal Killing tensors and their Killing scales (with Rod Gover and Jonathan Kress), 35 pages,
  • Lorentzian homogeneous 杏吧直播 with indecomposable holonomy (with Steven Greenwood), 30 pages,   

  Publications

  • The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces (with Federico Costanza, Michael Eastwood, and Benjamin McMillan), to appear in , 27 pages,
    
  • A Calabi operator for Riemannian locally symmetric spaces (with Federico Costanza, Michael Eastwood, and Benjamin McMillan), to appear in , 17 pages,
  • Compact locally conformally pseudo-Kaehler manifolds with essential conformal transformations (with Vicente Cortes), 20(2024), 084, 12 pages,
  • Fundamental regions for non-isometric group actions (with Stuart Teisseire), (2024) 218:95, 13 pages,
  • Killing vector fields on semi-Riemannian product manifolds (with Federico Costanza), to appear in the , 7 pages,
  • Conformal transformations of Cahen-Wallach spaces (with Stuart Teisseire), , 40 pages,  
  • Almost Robinson geometries (with Anna Fino and Arman Taghavi-Chabert), , Vol. 113, article number 56 (2023), 103 pages,  
  • Optical geometries (with Anna Fino and Arman Taghavi-Chabert), 2025: VOL. XXVI, ISSUE 1, 46 pages,
  • Completeness of certain compact Lorentzian locally symmetric spaces (with Thomas Munn), , Vol 361, (2023), pp. 819-824,  
  • Semi-Riemannian cones, in , p. 193-222, , Springer 2022, 
  • Semi-Riemannian cones with parallel null planes (with Dmitri Alekseevsky and Vicente Cortes), , Proceedings of the 10th International Meeting on Lorentzian Geometry, Springer Proceedings in Mathematics and Statistics, pp. 1-11, ,
  • Geometry and holonomy of indecomposable cones (with Dmitri Alekseevsky and Vicente Cortes), , Vol. 39, no. 3 (2023), pp. 1105-1141, .
  • Conformal properties of indefinite bi-invariant metrics (with Kelli Francis-Staite),  ,  
  • Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems (with H.Baum), in , edited by Vicente Cortes, Klaus Kroencke and Jan Louis, vol 2 in Tutorials, Schools, and Workshops in the Mathematical Sciences, Birkhaeuser/Springer, 2018, pp 1-76
  • Invariant prolongation of the Killing tensor equation (with A. Rod Gover), , pp 307-334, ,  
  • Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian generalised Killing spinors (with A.Lischewski), The Journal of Geometric Analysis, 29, , 2019, pp 33-82,  ,   
  • Conformal Walker metrics and linear Fefferman-Graham equations (with I. Anderson,  A. Lischewski, and P. Nurowski), ,
  • New relations between $G_2$-geometries in dimensions 5 and 7 (with P. Nurowski and K. Sagerschnig), International Journal of Mathematics 28 (2017), issue 13, 46 pages,  ,
  • The ambient obstruction tensor and conformal holonomy (with A. Lischewski), Pacific Journal of Mathematics  290 (2017), no. 2, 403-436, ,
  • Explicit ambient metrics and holonomy (with I.M. Anderson and P. Nurowski), Journal of Differential Geometry, 114 (2), 193-242, ,
  • Cauchy problems for Lorentzian manifolds with special holonomy (with H. Baum and A. Lischewski), Differential Geom. Appl. 45 (April 2016), pp 43-66, ,
  • Locally homogeneous pp-waves (with W. Globke), Journal of Geometry and Physics 108, Oct 2016, 83-101, ,
  • Completeness of compact Lorentzian manifolds with abelian holonomy (with D. Schliebner), Math. Ann. 364 (2016), issue 3, pp 1469-1503,, .
  • Conformal holonomy, symmetric spaces, and skew symmetric torsion (with J. Alt and A. J. Di Scala), Differential Geom. Appl., , .
  • On the full holonomy group of special Lorentzian manifolds (with Helga Baum and Kordian Laerz),  Math. Z. 277 (2014), no 3-4, 797-828,  ,  .
  • Conformal pure radiation with parallel rays (with P. Nurowski), Classical and Quantum Gravity 29 (2012) 055007 (15pp), . 
  • Ambient metrics with exceptional holonomy (with P. Nurowski),  Ann. Sc. Norm. Super. Pisa Cl. Sci., XI, issue 2 (2012), 407-436,, , 30 pages.
  • Half flat 杏吧直播 and special holonomy (with V. Cortes, L. Schaefer, and F. Schulte-Hengesbach),  Proc.  London Math. Soc.  (3) 102 (2011) 113-158, , . 
  • On the local structure of Lorentzian Einstein manifolds with parallel null line (with A. S Galaev),  Classical Quantum Gravity 27 (2010) 225003 (16pp),  ,  .  
  • Ambient metrics for n-dimensional pp-waves (with P. Nurowski), Comm. Math Phys. 296 (2010), 881-898,  , .  
  • Connected subgroups of SO(2,n) acting irreducibly on $\R^{2,n}$ (with A. J. Di Scala), Israel J. Math. 182 (2011), 103-121, preprint available as or as ESI preprint no.     
  • Recent development in pseudo-Riemannian holonomy theory (with Anton Galaev),  , IRMA Lectures in Mathematics and Theoretical Physics, 2010, 581-629.   
  • Irreducibly acting subgroups of $Gl(n, r)$ (with Antonio J. Di Scala and Thomas Neukirchner), 2005, , IRMA Lectures in Mathematics and Theoretical Physics, 2010, 629-653,  .    
    
  • Cones over pseudo-Riemannian manifolds and their holonomy (with D. V. Alekseevsky, V. Cortes, and A. Galaev),  J. reine angew. Math. (Crelle's Journal)  635 (2009), 23-69,  , ESI preprint .
  • Holonomy groups of Lorentzian manifolds: classification, examples and applications. (with Anton Galaev), in , ESI-Series on Mathematics and Physics,  European Mathematical Society, 2008, 53-97.
  • Higher symmetries of the square of the Laplacian (with Michael Eastwood), in: Symmetries and Overdetermined Systems of Partial Differential Equations,  Vol. 144  of IMA Volumes  in Mathematics and Its Applications, 2008, 319-338, , also at  . 
  • Ambient connections realising conformal Tractor holonomy (with Stuart Armstrong), Monatshefte fuer Mathematik, 152 (2007), no. 4: 265-282,  , also at .  
  • On the classification of Lorentzian holonomy groups, Journal of Differential Geometry, 76, no. 3: 423-484, .
  • Screen bundles of Lorentzian manifolds and some generalisations of pp-waves, Journal of Geometry and Physics, 56 (2006), no. 10: 2117 -- 2134,  , also as  .
  • Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds, Differential Geometry and its Applications, 24 (2006), no. 5: 458 -- 478, , also at .
    
  • Holonomy and Parallel Spinors in Lorentzian Geometry, Dissertation, Humboldt-Universitaet zu Berlin, 2003, published in Berlin, 2004.
    
  • Towards a classification of Lorentzian holonomy groups. Part II: Semismple, non-simple weak-Berger algebras, 2003,  .
  • Towards a classification of Lorentzian holonomy groups, 2003,
    
  • Berger algebras, weak-Berger algebras and Lorentzian holonomy, Sfb 288-preprint no. 567, 2002:ftp://ftp-sfb288.math.tu-berlin.de/pub/Preprints/preprint567.ps.gz.
  • Lorentzian manifolds with special holonomy and parallel spinors, in: The proceedings of the 21st winter school "Geometry and Physics", Srni, January 13-20, 2001, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Nr. 69, pp. 131-159, 2002 (This is an extended version of the SFB 288 preprint no. 468 with some additional results.)
  • Das Huygenssche Prinzip fuer den Diracoperator auf Lorentzmannigfaltigkeiten (The Huygens principle for the Dirac operator on Lorentzian manifolds), diploma thesis, Humboldt 杏吧直播 Berlin, 1999, .

   

Entry last updated: Tuesday, 15 Jul 2025

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