Results 21 to 30 of about 341 (179)
Directed Graph Embeddings in Pseudo-Riemannian Manifolds
CoRR, 2021 Accepted at ICML ...
Aaron Sim +4 more
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Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Pseudo-Riemannian spinc manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudo-Riemannian 4-manifolds with neutral signature whose structure groups are SO+(2; 2).
Değirmenci Nedim, Karapazar Şenay
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A Note on the Characterization of Two-Dimensional Quasi-Einstein Manifolds
Mathematics, 2020 In this article, we aim to introduce new classes of two-dimensional quasi-Einstein pseudo-Riemannian manifolds with constant curvature. We also give a classification of 2D quasi-Einstein manifolds of warped product type working in local coordinates.
Gabriel Bercu
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Demonstratio Mathematica, 2021 The purpose of this article is to demonstrate how to use the mathematics of spinor bundles and their category. We have used the methods of principle fiber bundles obey thorough solid harmonic treatment of pseudo-Riemannian manifolds and spinor structures
Hassan Yousif Atyeib Ibrahim
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The Dirac–Witten operator on pseudo-Riemannian manifolds [PDF]
Mathematische Zeitschrift, 2011 The authors investigate the Dirac-Witten operator for space-like spin submanifolds of pseudo-Riemannian manifolds, and when the normal spin bundles are odd-dimensional they derive new lower bounds for the eigenvalues. As an application, they prove the generalized positive mass theorem of general relativity.
Chen, Daguang +2 more
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Szabo Osserman IP pseudo-Riemannian manifolds
Publicationes Mathematicae Debrecen, 2003 We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their domains of definition. This provides new and non-trivial examples of Osserman, Szabo, and IP manifolds. We also study when the associated Jordan normal form of these operators
Gilkey, Peter B. +2 more
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Index of pseudo-projectively-symmetric semi-Riemannian manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2015 The index of $\widetilde{\nabla}$-pseudo-projectively symmetric and in particular for $\widetilde{\nabla}$-projectively symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is Ricci symmetric metric connection, are discussed.
P. Gupta
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Complete curvature homogeneous pseudo-Riemannian manifolds [PDF]
Classical and Quantum Gravity, 2004 Update paper to fix misprints in original ...
Gilkey, P., Nikčević, S.
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Maps of manifolds with indefinite metrics preserving certain geometrical entities
International Journal of Mathematics and Mathematical Sciences, 1978 It is shown that (i) a diffeomorphism of manifolds with indefinite metrics preserving degenerate r-plane sections is conformal, (ii) a sectional curvature-preservlng diffeomorphism of manifolds with indefinite metrics of dimension ≥4 is generically an ...
R. S. Kulkarni
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Pseudodifferential Weyl Calculus on (Pseudo-)Riemannian Manifolds [PDF]
Annales Henri Poincaré, 2020 AbstractOne can argue that on flat space $${\mathbb {R}}^d$$Rd, the Weyl quantization is the most natural choice and that it has the best properties (e.g., symplectic covariance, real symbols correspond to Hermitian operators). On a generic manifold, there is no distinguished quantization, and a quantization is typically defined chart-wise.
Dereziński, Jan +2 more
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