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mathematics (35) 35
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1973, Cambridge monographs on mathematical physics., ISBN 0521200164, Volume 1, xi, 391
Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational... 
Space and time | Astrophysics
Book
2002, Lecture notes in mathematics, ISBN 3540431446, Volume 1777., xii, 166
Book
Journal of geometry and physics, ISSN 0393-0440, 09/2010, Volume 60, Issue 9, pp. 1190 - 1208
In this paper we develop the theories of normed linear spaces and of linear spaces with indefinite metric, for finite dimensions both of which are also called Minkowski spaces in the literature... 
Group of isometries | James orthogonality | Birkhoff orthogonality | Finsler space | Semi-definite inner product | Lorentz geometry | Minkowski space | Normed linear space | Indefinite inner product | Finite-dimensional real Banach space | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology | Mathematics - Metric Geometry
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 03/2018, Volume 541, pp. 60 - 80
As is well known, for every orthogonal transformation of the Euclidean space there exists an orthogonal basis such that the matrix of the transformation is... 
Cyclic spaces | Pseudo-Euclidean vector spaces | Jordan form | Linear transformations | Eigenvectors | Decomposition | Indefinite metrics | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Lorentz transformations | Euclidean geometry | Vector space | Linear algebra | Isomorphism | Eigenvalues | Subspaces | Invariants | Eigen values
Journal Article
Journal of geometry and physics, ISSN 0393-0440, 08/2019, Volume 142, pp. 240 - 253
We study minimal Lorentz surfaces in the pseudo-Euclidean 4-space with neutral metric whose first normal space is two-dimensional and whose Gauss curvature K and normal curvature ϰ... 
Minimal surfaces | Lorentz surfaces | Pseudo-Euclidean space with neutral metric | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology | Mathematics - Differential Geometry
Journal Article
Publicationes mathematicae (Debrecen), ISSN 0033-3883, 2012, Volume 80, Issue 1-2, pp. 215 - 234
We extend to the semi-Riemannian context the well-known results obtained by Blair, Ludden and Yano on toroidal principal bundles endowed with a metric globally framed f-structure... 
Principal bundle | Hopf fibration | Lorentz manifold | Indefinite metric | Globally framed f-structure | Physical Sciences | Mathematics | Science & Technology
Journal Article
Journal Article
This bachelor thesis shows a way to classify second order symmetric tensors in the Lorentz metric... 
Indefinite linear algebra | MATHEMATICS | symmetric tensors | classification of canonical form | Segre type | Minkowski space | Lorentz metric | MATEMATIK
Dissertation
Journal of the Chinese Chemical Society (Taipei), ISSN 0009-4536, 01/2016, Volume 63, Issue 1, pp. 11 - 19
Journal Article
Journal of geometry and physics, ISSN 0393-0440, 02/2017, Volume 112, pp. 85 - 94
.... These notions are designed to also make sense in cases when the Finslerian metric tensors are either not defined or degenerate along some directions in each tangent space... 
Time orientability | Volume form | Lorentz–Finsler manifold | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology
Journal Article
Physical review. D, Particles and fields, ISSN 0556-2821, 02/1971, Volume 3, Issue 4, pp. 1046 - 1047
Journal Article
Geometriae dedicata, ISSN 0046-5755, 2/2002, Volume 89, Issue 1, pp. 57 - 105
.... To be specific, suppose that the Minkowski plane E 2 1 is the x,y-plane with metric dxdy. Our main theorem states that if ∂ℒ... 
Geometry | indefinite metric | conformal geometric | Mathematics | Lorentz surface
Journal Article
Physical review. D, Particles and fields, ISSN 0556-2821, 1973, Volume 8, Issue 6, pp. 1796 - 1807
Journal Article
Lettere al Nuovo cimento della Società italiana di fisica, ISSN 0375-930X, 08/1972, Volume 4, Issue 17, pp. 913 - 918
Journal Article
Physical review. D, Particles and fields, ISSN 0556-2821, 1977, Volume 15, Issue 2, pp. 416 - 425
Journal Article
Geometriae dedicata, ISSN 0046-5755, 2002, Volume 89, Issue 1, pp. 59 - 107
.... To be specific, suppose that the Minkowski plane E-1(2) is the x,y-plane with metric dxdy. Our main theorem states that if partial derivativeL is smoothable then L is conformally homeomorphic to the interior U of a Jordan curve in E-1(2... 
Indefinite metric | Conformal geometric | Lorentz surface | Physical Sciences | Mathematics | Science & Technology
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 1983, Volume 89, Issue 3, pp. 467 - 472
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2003, Volume 355, Issue 2, pp. 775 - 786
... in a (compact or noncompact) flat Lorentz 2-step nilmanifold N/\Gamma , where N is a simply connected 2-step nilpotent Lie group with a flat left-invariant Lorentz metric... 
Geometry | Mathematical theorems | Algebra | Nonexistence | Spacetime | Inner products | Lie groups | Mathematical vectors | Curvature | 2-step nilpotent Lie groups | Closed timelike geodesies | Left-invariant Lorentz metrics | Physical Sciences | Mathematics | Science & Technology
Journal Article
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