Results 51 to 60 of about 32,038 (159)
Exterior Dirichlet Problem for Translating Solutions of Gauss Curvature Flow in Minkowski Space
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove the existence of solutions to a class of Monge‐Ampère equations on exterior domains in ℝn(n ≥ 2) and the solutions are close to a cone. This problem comes from the study of the flow by powers of Gauss curvature in Minkowski space.
Hongjie Ju, Sining Zheng
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Rotational hypersurfaces in Lorentz-Minkowski 4-space
, 2021 In this study, we study rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space. We find the rotational hypersurfaces about spacelike axis according to Gaussian and mean curvatures in E-1(4) and give some results with the aid of the Gaussian ...
Mustafa ALTIN +3 more
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Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds [PDF]
Results in Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
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Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds
Symmetry, 2022 The main purpose of this paper is to investigate lightlike hypersurfaces of almost productlike semi-Riemannian manifolds. For this purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant lightlike hypersurfaces of almost productlike semi-Riemannian manifolds are introduced and some examples of these ...
Ömer Aksu, Mehmet Gülbahar, Esra Erkan
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Asymptotic behavior of Moncrief Lines in constant curvature space‐times
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti +2 more
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The Geometry of Lightlike Hypersurfaces of the de Sitter Space
Acta Applicandae Mathematica, 1998 LaTeX, 32 pages;, to be published in Acta Appl.Math ...
Akivis, Maks A., Goldberg, Vladislav V.
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Characterization of the null energy condition via displacement convexity of entropy
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We characterize the null energy condition for an (n+1)$(n+1)$‐dimensional, time‐oriented Lorentzian manifold in terms of convexity of the relative (n−1)$(n-1)$‐Renyi entropy along displacement interpolations on null hypersurfaces. More generally, we also consider Lorentzian manifolds with a smooth weight function and introduce the Bakry–Emery ...
Christian Ketterer
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A Review on Unique Existence Theorems in Lightlike Geometry
Geometry, Volume 2014, Issue 1, 2014., 2014 This is a review paper of up‐to‐date research done on the existence of unique null curves, screen distributions, Levi‐Civita connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi‐Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography. We also propose
K. L. Duggal, Yuji Kodama
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Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G0 in H3.
Mahmut Mak +2 more
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