Results 11 to 20 of about 7,082 (264)
ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]
Journal of the London Mathematical Society, 2003 23 ...
Chen, Xinyue +2 more
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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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Scalar Curvature of a Causal Set [PDF]
Physical Review Letters, 2010 A one parameter family of retarded linear operators on scalar fields on causal sets is introduced. When the causal set is well approximated by 4 dimensional Minkowski spacetime, the operators are Lorentz invariant but nonlocal, are parametrized by the scale of the nonlocality, and approximate the continuum scalar D'Alembertian square when acting on ...
Benincasa, Dionigi Maria Teofilo +1 more
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Deformation of the Weighted Scalar Curvature
Symmetry, Integrability and Geometry: Methods and Applications, 2023 Inspired by the work of Fischer-Marsden [Duke Math. J. 42 (1975), 519-547], we study in this paper the deformation of the weighted scalar curvature. By studying the kernel of the formal $L_\phi^2$-adjoint for the linearization of the weighted scalar curvature, we prove several geometric results.
Ho, Pak Tung, Shin, Jinwoo
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A Splitting Theorem for Scalar Curvature [PDF]
Communications on Pure and Applied Mathematics, 2018 Abstract We show that a Riemannian 3‐manifold with nonnegative scalar curvature is flat if it contains an area‐minimizing cylinder. This scalar‐curvature analogue of the classical splitting theorem of J. Cheeger and D. Gromoll (1971) was conjectured by D. Fischer‐Colbrie and R. Schoen (1980) and by M.
Chodosh, Otis +2 more
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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. 0.1 0.1
Bolotov, Dmitry, Dranishnikov, Alexander
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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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Deformation of scalar curvature and volume [PDF]
Mathematische Annalen, 2013 The stationary points of the total scalar curvature functional on the space of unit volume metrics on a given closed manifold are known to be precisely the Einstein metrics. One may consider the modified problem of finding stationary points for the volume functional on the space of metrics whose scalar curvature is equal to a given constant.
Corvino, Justin +2 more
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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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Erratum to: Total Scalar Curvature and Harmonic Curvature
Taiwanese Journal of Mathematics, 2016 It has been realized that the proof of Theorem 5.1 in Section 5 is imcomplete. It was pointed out by Professor Jongsu Kim and Israel Evangelista.
Yun, Gabjin +2 more
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