Results 41 to 50 of about 681,612 (344)
Scalar curvature, inequality and submanifold [PDF]
Proceedings of the American Mathematical Society, 1973 Using an inequality relation between scalar curvature and length of second fundamental form, we may conclude that a submanifold must have nonnegative (or positive) sectional curvatures. An application to compact submanifolds in obtained.
Masafumi Okumura, Bang-Yen Chen
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Generalized disformal invariance of cosmological perturbations with second-order field derivatives
Physics Letters B, 2021 We investigate how the comoving curvature and tensor perturbations are transformed under the generalized disformal transformation with the second-order covariant derivatives of the scalar field, where the free functions depend on the fundamental elements
Masato Minamitsuji
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TOTAL SCALAR CURVATURE AND HARMONIC CURVATURE
Taiwanese Journal of Mathematics, 2014 On a compact n-dimensional manifold, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, will be Einstein. This conjecture was proposed in 1984 by Besse, but has yet to be proved.
Yun, Gabjin +2 more
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ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]
Journal of the London Mathematical Society, 2003 23 ...
Xiaohuan Mo, Xinyue Chen, Zhongmin Shen
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Memory effects in Kundt wave spacetimes
Physics Letters B, 2020 Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form H2×M(1,1) and S2×M(1,1).
Indranil Chakraborty, Sayan Kar
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Interior C2 regularity of convex solutions to prescribing scalar curvature equations [PDF]
Duke mathematical journal, 2017 We establish interior $C^2$ estimates for convex solutions of scalar curvature equation and $\sigma_2$-Hessian equation. We also prove interior curvature estimate for isometrically immersed hypersurfaces $(M^n,g)\subset \mathbb R^{n+1}$ with positive ...
Pengfei Guan, Guohuan Qiu
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Mathematische Annalen, 1989 The author studies the question whether a given smooth function K on \(S^ n\) is the scalar curvature of a metric conformal to the standard metric. Not all functions can be realized - obstructions have been found by Kazdan-Warner and Bourguignon-Ezin. The author gives various sufficient conditions, related to work of Escobar and Schoen, for a positive ...
Wenxiong Chen, Wenxiong Chen
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On Gromov’s scalar curvature conjecture [PDF]
Proceedings of the American Mathematical Society, 2009 We prove the Gromov conjecture on the macroscopic dimension of the universal covering of a closed spin manifold with a positive scalar curvature under the following assumptions on the fundamental group.0.10.1.Theorem.Suppose that a discrete groupπ\pihas the following properties:11. The Strong Novikov Conjecture holds forπ\pi.22.
Alexander Dranishnikov, Dmitry Bolotov
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Positive scalar curvature with skeleton singularities [PDF]
Mathematische Annalen, 2017 We study positive scalar curvature on the regular part of Riemannian manifolds with singular, uniformly Euclidean ($$L^\infty $$L∞) metrics that consolidate Gromov’s scalar curvature polyhedral comparison theory and edge metrics that appear in the study ...
Chao Li, Christos Mantoulidis
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Hypersurfaces with nonnegative scalar curvature [PDF]
Journal of Differential Geometry, 2013 A point in the proof of Theorem 2 that was overlooked in the previous versions is fixed. The appendix of some topological results is added. To appear in J.
Huang, Lan-Hsuan, Wu, Damin
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