# zbMATH — the first resource for mathematics

## Kriele, Marcus

Compute Distance To:
 Author ID: kriele.marcus Published as: Kriele, M.; Kriele, Marcus
 Documents Indexed: 38 Publications since 1989, including 4 Books Reviewing Activity: 106 Reviews
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#### Co-Authors

 16 single-authored 6 Kossowski, Marek 4 Vrancken, Luc 3 Wolf, Jochen 2 Hasse, Wolfgang 2 Lim, Giselle 2 Perlick, Volker 1 Bunke, Ulrich 1 Gardner, Robert Brown 1 Hayward, Sean A. 1 Martin, Jérôme 1 Newman, Richard P. A. C. 1 Scharlach, Christine 1 Scott, Susan M. 1 Simon, Udo 1 Sluis, Willem M.
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#### Serials

 13 Classical and Quantum Gravity 3 Journal of Mathematical Physics 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 General Relativity and Gravitation 2 Geometriae Dedicata 1 Nonlinearity 1 Archiv der Mathematik 1 Hokkaido Mathematical Journal 1 Journal of Geometry 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Annals of Global Analysis and Geometry 1 Lecture Notes in Physics. New Series m: Monographs 1 Blätter der DGVFM (Deutsche Gesellschaft für Versicherungs- und Finanzmathematik) 1 EAA Series
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#### Fields

 32 Differential geometry (53-XX) 24 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

29 Publications have been cited 159 times in 111 Documents Cited by Year
Spacetime. Foundations of general relativity and differential geometry. Zbl 0933.83001
Kriele, Marcus
1999
Smooth and discontinuous signature type change in general relativity. Zbl 0791.53064
Kossowski, Marek; Kriele, Marcus
1993
Signature type change and absolute time in general relativity. Zbl 0881.53056
Kossowski, Marek; Kriele, Marcus
1993
Lorentzian affine hyperspheres with constant affine sectional curvature. Zbl 0998.53006
Kriele, Marcus; Vrancken, Luc
2000
Caustics of wavefronts in general relativity. Zbl 0855.53040
Hasse, Wolfgang; Kriele, Marcus; Perlick, Volker
1996
Transverse, type changing, pseudo Riemannian metrics and the extendability of geodesics. Zbl 0814.53046
Kossowski, Marek; Kriele, Marcus
1994
Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature. Zbl 0969.53045
Kriele, Marcus; Vrancken, Luc
1999
Outer trapped surfaces and their apparent horizon. Zbl 0877.53069
Kriele, Marcus; Hayward, Sean A.
1997
The Einstein equation for signature type changing spacetimes. Zbl 0820.53070
Kossowski, Marek; Kriele, Marcus
1994
An extremal class of 3-dimensional elliptic affine spheres. Zbl 0992.53014
Kriele, Marcus; Scharlach, Christine; Vrancken, Luc
2001
An extremal class of three-dimensional hyperbolic affine spheres. Zbl 0943.53011
Kriele, Marcus; Vrancken, Luc
1999
The structure of chronology violating sets with compact closure. Zbl 0684.53050
Kriele, Marcus
1989
Black holes, cosmological singularities and change of signature. Zbl 0826.53075
Kriele, Marcus; Martin, Jérôme
1995
Generalized spherical functions on projectively flat manifolds. Zbl 0837.53022
Gardner, Robert B.; Kriele, Marcus; Simon, Udo
1995
The volume blow-up and characteristic classes for transverse, type-changing, pseudo-Riemannian metrics. Zbl 0873.53045
Kossowski, Marek; Kriele, Marcus
1997
Physical properties of geometric singularities. Zbl 0842.53069
Kriele, Marcus; Lim, Giselle
1995
On $$(1+1)$$-gravity. Zbl 0765.53068
Kriele, Marcus
1992
On square integrability of mean curvature for surfaces with positive Gaussian curvature. Zbl 0754.53040
Bunke, Ulrich; Kriele, Marcus
1991
Value-oriented risk management of insurance companies. Translated from the German by Patrick D. F. Ion. Zbl 1298.91009
Kriele, Marcus; Wolf, Jochen
2014
Value-based risk management of insurance companies. Zbl 1236.91004
Kriele, Marcus; Wolf, Jochen
2012
On market value margins and cost of capital. Zbl 1130.91352
Kriele, Marcus; Wolf, Jochen
2007
Fibre completion, contact singularities and single-valued solutions to $$C^\infty$$-systems of first-order ordinary differential equations. Zbl 0892.34022
Kossowski, Marek; Kriele, Marcus; Sluis, Willem M.
1996
On the collapse of a spherically symmetric star. Zbl 0841.76099
Kriele, Marcus
1995
A geometric theory of shell singularities. Zbl 0821.53064
Kriele, Marcus; Lim, Giselle; Scott, Susan M.
1994
Cosmic censorship in spherically symmetric perfect fluid spacetimes. Zbl 0791.53078
Kriele, Marcus
1993
The collapse of a spherically symmetric star with linear equation of state. Zbl 0786.53052
Kriele, Marcus
1993
A bound on the concentration of matter in spherically symmetric stars and its application for the existence of black-holes. Zbl 0793.53095
Kriele, M.
1992
A generalization of the singularity theorem of Hawking and Penrose to space-times with causality violations. Zbl 0722.53059
Kriele, Marcus
1990
Causality violations and singularities. Zbl 0699.53069
Kriele, Marcus
1990
Value-oriented risk management of insurance companies. Translated from the German by Patrick D. F. Ion. Zbl 1298.91009
Kriele, Marcus; Wolf, Jochen
2014
Value-based risk management of insurance companies. Zbl 1236.91004
Kriele, Marcus; Wolf, Jochen
2012
On market value margins and cost of capital. Zbl 1130.91352
Kriele, Marcus; Wolf, Jochen
2007
An extremal class of 3-dimensional elliptic affine spheres. Zbl 0992.53014
Kriele, Marcus; Scharlach, Christine; Vrancken, Luc
2001
Lorentzian affine hyperspheres with constant affine sectional curvature. Zbl 0998.53006
Kriele, Marcus; Vrancken, Luc
2000
Spacetime. Foundations of general relativity and differential geometry. Zbl 0933.83001
Kriele, Marcus
1999
Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature. Zbl 0969.53045
Kriele, Marcus; Vrancken, Luc
1999
An extremal class of three-dimensional hyperbolic affine spheres. Zbl 0943.53011
Kriele, Marcus; Vrancken, Luc
1999
Outer trapped surfaces and their apparent horizon. Zbl 0877.53069
Kriele, Marcus; Hayward, Sean A.
1997
The volume blow-up and characteristic classes for transverse, type-changing, pseudo-Riemannian metrics. Zbl 0873.53045
Kossowski, Marek; Kriele, Marcus
1997
Caustics of wavefronts in general relativity. Zbl 0855.53040
Hasse, Wolfgang; Kriele, Marcus; Perlick, Volker
1996
Fibre completion, contact singularities and single-valued solutions to $$C^\infty$$-systems of first-order ordinary differential equations. Zbl 0892.34022
Kossowski, Marek; Kriele, Marcus; Sluis, Willem M.
1996
Black holes, cosmological singularities and change of signature. Zbl 0826.53075
Kriele, Marcus; Martin, Jérôme
1995
Generalized spherical functions on projectively flat manifolds. Zbl 0837.53022
Gardner, Robert B.; Kriele, Marcus; Simon, Udo
1995
Physical properties of geometric singularities. Zbl 0842.53069
Kriele, Marcus; Lim, Giselle
1995
On the collapse of a spherically symmetric star. Zbl 0841.76099
Kriele, Marcus
1995
Transverse, type changing, pseudo Riemannian metrics and the extendability of geodesics. Zbl 0814.53046
Kossowski, Marek; Kriele, Marcus
1994
The Einstein equation for signature type changing spacetimes. Zbl 0820.53070
Kossowski, Marek; Kriele, Marcus
1994
A geometric theory of shell singularities. Zbl 0821.53064
Kriele, Marcus; Lim, Giselle; Scott, Susan M.
1994
Smooth and discontinuous signature type change in general relativity. Zbl 0791.53064
Kossowski, Marek; Kriele, Marcus
1993
Signature type change and absolute time in general relativity. Zbl 0881.53056
Kossowski, Marek; Kriele, Marcus
1993
Cosmic censorship in spherically symmetric perfect fluid spacetimes. Zbl 0791.53078
Kriele, Marcus
1993
The collapse of a spherically symmetric star with linear equation of state. Zbl 0786.53052
Kriele, Marcus
1993
On $$(1+1)$$-gravity. Zbl 0765.53068
Kriele, Marcus
1992
A bound on the concentration of matter in spherically symmetric stars and its application for the existence of black-holes. Zbl 0793.53095
Kriele, M.
1992
On square integrability of mean curvature for surfaces with positive Gaussian curvature. Zbl 0754.53040
Bunke, Ulrich; Kriele, Marcus
1991
A generalization of the singularity theorem of Hawking and Penrose to space-times with causality violations. Zbl 0722.53059
Kriele, Marcus
1990
Causality violations and singularities. Zbl 0699.53069
Kriele, Marcus
1990
The structure of chronology violating sets with compact closure. Zbl 0684.53050
Kriele, Marcus
1989
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#### Cited by 142 Authors

 9 Vrancken, Luc 8 Chen, Bang-Yen 5 Dray, Tevian 5 Li, Cece 4 Hu, Zejun 4 Kriele, Marcus 4 Tucker, Robin W. 3 Takahashi, Masatomo 2 Artstein-Avidan, Shiri 2 Atindogbe, Cyriaque 2 Briscese, Fabio 2 Calogero, Francesco A. 2 Cheung, Leung-Fu 2 Darabi, Farhad 2 Dillen, Franki 2 Frittelli, Simonetta 2 Gratus, Jonathan 2 Gutiérrez, Manuel 2 Hayward, Sean A. 2 Hellaby, Charles 2 Hounnonkpe, Raymond 2 Izumiya, Shyuichi 2 Kunzinger, Michael 2 Leung, Pui-Fai 2 Li, Haizhong 2 Li, Xingxiao 2 Minguzzi, Ettore 2 Newman, Ezra Ted 2 Nozari, Kourosh 2 Payne, Kevin R. 2 Pelegrín, José A. S. 2 Raptis, Ioannis A. 2 Remizov, Alexey O. 2 Senovilla, José M. M. 2 Setare, Mohammad Reza 2 Simon, Udo 2 Slomka, Boaz A. 2 Steinbauer, Roland 1 Aguirre Dabán, E. 1 Aguirre, Edith 1 Anciaux, Henri 1 Andersson, Lars Åke 1 Antic, Miroslava 1 Balachandran, Aiyalam P. 1 Barigou, Karim 1 Batista, Edvaldo E. A. 1 Bayard, Pierre 1 Bergen, E. 1 Borgiel, Włodzimierz 1 Chan, Ying-Ying 1 Chen, Jingren 1 Chen, Ze 1 Cheng, Xiuxiu 1 Christiansen, Marcus Christian 1 Cipriani, Nastassja 1 Costa e Silva, Ivan P. 1 D’Ambrosio, Fabio 1 de Carvalho, Carlos A. A. 1 Derdzinski, Andrzej 1 Dhaene, Jan 1 Ehlers, Jürgen 1 Eichmair, Michael 1 Ellis, George Francis Rayner 1 Embacher, Franz 1 Fastenakels, Johan 1 Fernandez, Vicente I. 1 Fu, Chun-Chieh 1 Fukunaga, Tomonori 1 Ghafoori-Tabrizi, K. 1 Giambò, Roberto 1 Giannoni, Fabio 1 Gosse, Laurent 1 Gousheh, Siamak S. 1 Graf, Melanie 1 Gransee, Michael 1 Grant, James D. E. 1 Hartley, David H. 1 Hirayama, Takayuki 1 Holdom, Bob 1 Honda, Atsufumi 1 Jaramillo, José Luis 1 Kong, Dexing 1 Kruglikov, Boris S. 1 Lafuente López, Javier 1 Lafuente, Javier 1 Larsen, Jens Christian 1 Lesourd, Martin 1 Lin, Song-Sun 1 Liu, Haiming 1 Liu, Kefeng 1 Low, Robert J. 1 Manogue, Corinne A. 1 Mansouri, Reza 1 McCabe, Gordon 1 Metzger, Jan 1 Miao, Jiajing 1 Moruz, Marilena 1 Musso, Emilio 1 Nicolodi, Lorenzo 1 Nielsen, Alex B. ...and 42 more Authors
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#### Cited in 46 Serials

 11 Journal of Mathematical Physics 9 General Relativity and Gravitation 8 Journal of Geometry and Physics 6 Results in Mathematics 6 Differential Geometry and its Applications 5 International Journal of Modern Physics D 4 International Journal of Modern Physics A 4 Communications in Mathematical Physics 4 International Journal of Theoretical Physics 4 Journal of Mathematical Analysis and Applications 4 International Journal of Geometric Methods in Modern Physics 3 Journal of Geometry 3 Acta Mathematica Sinica. English Series 3 Living Reviews in Relativity 2 Classical and Quantum Gravity 2 Geometriae Dedicata 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Journal of Singularities 1 Applicable Analysis 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Insurance Mathematics & Economics 1 Acta Applicandae Mathematicae 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 SIAM Journal on Applied Mathematics 1 Russian Mathematics 1 Selecta Mathematica. New Series 1 Taiwanese Journal of Mathematics 1 Foundations of Science 1 Communications in Contemporary Mathematics 1 Physical Review D. Series III 1 ASTIN Bulletin 1 Foundations of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Nonlinear Science and Applications 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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#### Cited in 27 Fields

 67 Differential geometry (53-XX) 51 Relativity and gravitational theory (83-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)