Results 121 to 130 of about 87,863 (252)
Doubly Warped Product Finsler Manifolds with Some Non-Riemannian Curvature Properties [PDF]
arXiv, 2011 In this paper, we consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only it is Berwaldian.
arxiv
Journal of High Energy Physics, 2019 We study the perturbative unitarity of scattering amplitudes in general dimensional reductions of Yang-Mills theories and general relativity on closed internal manifolds.
James Bonifacio, Kurt Hinterbichler
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Methods of holonomy theory for Ricci-flat Riemannian manifolds [PDF]
Journal of Mathematical Physics, 1991 Compact, Ricci-flat Riemannian manifolds often arise in physical applications, either as a technical device or as models of ‘‘internal’’ space. The idea of extending the holonomy group of such a manifold to a larger gauge group (‘‘embedding the connection in the gauge group’’) plays a fundamental role in the ‘‘manifold compactification’’ approach to ...
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Advances in High Energy Physics, 2013 We consider a multidimensional Kaluza-Klein (KK) model with a Ricci-flat internal space, for example, a Calabi-Yau manifold. We perturb this background metrics by a system of gravitating masses, for example, astrophysical objects such as our Sun.
Alexey Chopovsky +2 more
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Complete Ricci-flat K�hler manifolds of infinite topological type
Communications in Mathematical Physics, 1989 We display an infinite dimensional family of complete Ricci-flat Kahler manifolds of complex dimension 2, for which the second homology is infinitely generated. These are obtained from the Gibbons-Hawking Ansatz [2] by using infinitely many, sparsely distributed centers.
Claude LeBrun +3 more
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On the relation between Schwarzschild's and Kerr's manifolds [PDF]
arXiv, 2009 Kerr's manifold is only a Schwarzschild's manifold as seen by a suitably rotating coordinate system. By taking into account this fact, Kerr's manifold can be reduced to a Schwarzschild's manifold. In a final summary we give the main steps of our reasoning.
arxiv
The quantum non-linear σ-model RG flow and integrability in wormhole geometries
Nuclear Physics B, 2023 The target space of the non-linear σ-model is a Riemannian manifold. Although it can be any Riemannian metric, there are certain physically interesting geometries which are worth to study.
Oscar Lasso Andino +1 more
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A Liouvile-type theorems for some classes of complete Riemannian almost product manifolds and for special mappings of complete Riemannian manifolds [PDF]
arXiv, 2016 In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds.
arxiv
Conformally Flat Manifolds and a Pinching Problem on the Ricci Tensor [PDF]
, 1976 Samuel I. Goldberg, Mitsutaka Okumura
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On M-theory fourfold vacua with higher curvature terms
Physics Letters B, 2015 We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space.
Thomas W. Grimm +2 more
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