Results 321 to 330 of about 693,970 (340)

On the P-Scalar Curvature

The Journal of Geometric Analysis, 2016
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Abedin, Farhan, Corvino, Justin
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On symmetric finsler spaces ofHp-scalar curvature and scalar curvature

Periodica Mathematica Hungarica, 1986
A Finsler space \(F_ n\) is said to be of Hp-scalar curvature if \(p\cdot H_{\ell ijr}=k(h_{\ell j} h_{ir}-h_{\ell r} h_{ij})\), where \(H_{\ell ijr}\) is the Berwald h-curvature tensor, p is an operator projecting on the indicatrix, \(h_{ij}\) is the angular metric tensor, and k is the curvature scalar.
Sinha, B. B., Ram, A.
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S-Curvature, E-Curvature, and Berwald Scalar Curvature of Finsler Spaces

Differential Geometry and its Applications, 2023
This paper deals with the study of \(S\)-curvature, \(E\)-curvature and Berwald scalar curvature for Finsler spaces. More exactly, the author proves that the \(S\)-curvature of a Finsler space vanishes if and only if the \(E\)-curvature vanishes if and only if the Berwald scalar curvature vanishes.
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Scalar Curvatures on S 2

Transactions of the American Mathematical Society, 1987
The authors prove a theorem for the existence of a solution of the nonlinear elliptic equation \(-\Delta u+2=R(x)\ell\) 4, \(u\in S\) 2 under some conditions on R(x) but not symmetry. This is the first existence result where R(x) is not symmetric.
Chen, Wenxiong, Ding, Weiyue
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Pointwise lower scalar curvature bounds for $$C^0$$ metrics via regularizing Ricci flow

Geometric and Functional Analysis, 2019
In this paper we propose a class of local definitions of weak lower scalar curvature bounds that is well defined for $$C^0$$ metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that ...
Paula Burkhardt-Guim
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Prescribing Morse Scalar Curvatures

Milan Journal of Mathematics, 2022
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A polyhedron comparison theorem for 3-manifolds with positive scalar curvature

Inventiones Mathematicae, 2017
The study of comparison theorems in geometry has a rich history. In this paper, we establish a comparison theorem for polyhedra in 3-manifolds with nonnegative scalar curvature, answering affirmatively a dihedral rigidity conjecture by Gromov.
Chao Li
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On generalized 4-th root metrics of isotropic scalar curvature

Mathematica Slovaca, 2018
By an interesting physical perspective and a suitable contraction of the Riemannian curvature tensor in Finsler geometry, Akbar-Zadeh introduced the notion of scalar curvature for the Finsler metrics.
A. Tayebi
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Sewing Riemannian Manifolds with Positive Scalar Curvature

Journal of Geometric Analysis, 2017
We explore to what extent one may hope to preserve geometric properties of three-dimensional manifolds with lower scalar curvature bounds under Gromov–Hausdorff and Intrinsic Flat limits.
J. Basilio, J. Dodziuk, C. Sormani
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Prescribed scalar curvature on the $n$ -sphere

Calculus of Variations and Partial Differential Equations, 1996
The authors establish the Morse inequalities for the scalar curvature problem (i.e. The Kazdan-Warner problem) on \(S^3\). This result compliments an earlier existence theorem of \textit{A. Bahri} and \textit{J. M. Coron} [J. Funct. Anal. 95, No. 1, 106-172 (1991; Zbl 0722.53032)].
Schoen, Richard, Zhang, Dong
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