Results 31 to 40 of about 681,612 (344)
Constrained deformations of positive scalar curvature metrics [PDF]
Journal of differential geometry, 2019 We present a series of results concerning the interplay between the scalar curvature of a manifold and the mean curvature of its boundary. In particular, we give a complete topological characterization of those compact 3-manifolds that support Riemannian
A. Carlotto, Chao Li
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Deformations of the scalar curvature
Duke Mathematical Journal, 1975 N ...
Fischer, Arthur E., Marsden, Jerrold E.
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Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature
, 2020 V. A. Kiosak, G. V. Kovalova. Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature, Mat. Stud. 53 (2020), 212–217. In this paper we study a special type of pseudo-Riemannian spaces – quasi-Einstein spaces of constant scalar ...
V. Kiosak, G. Kovalova
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A rigidity theorem for nonvacuum initial data [PDF]
, 2001 In this note we prove a theorem on non-vacuum initial data for general relativity. The result presents a ``rigidity phenomenon'' for the extrinsic curvature, caused by the non-positive scalar curvature.
Choquet-Bruhat Y. +10 more
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Kähler metrics with constant weighted scalar curvature and weighted K‐stability [PDF]
Proceedings of the London Mathematical Society, 2018 We introduce a notion of a Kähler metric with constant weighted scalar curvature on a compact Kähler manifold X , depending on a fixed real torus T in the reduced group of automorphisms of X , and two smooth (weight) functions v>0 and w , defined on the ...
Abdellah Lahdili
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Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
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Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three [PDF]
American Journal of Mathematics, 2019 :We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in $\mathbb{R}^{3}$. The method is motivated by the integral method of Warren and Yuan.
Guohuan Qiu
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Scalar Curvature and Q-Curvature of Random Metrics [PDF]
The Journal of Geometric Analysis, 2010 We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.
Igor Wigman +3 more
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Scalar curvature of Lie groups [PDF]
Proceedings of the American Mathematical Society, 1981 In this paper, we prove the following theorem: If G G is a connected Lie group, then G G admits left invariant metric of positive scalar curvature if and only if the universal covering space G ~ \tilde G of G G is not homeomorphic to the ...
Huei Shyong Lue, Hêng Lung Lai
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Renormalizable Gravitational Action That Reduces to General Relativity on the Mass-Shell
Galaxies, 2018 We derive the equation that relates gravity to quantum mechanics: R|mass-shell=8πGc4LSM, where R is the scalar curvature, G is the gravitational constant, c is the speed of light and LSM is the Standard Model Lagrangian, or its future replacement ...
Peter D. Morley
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