Results 11 to 20 of about 693,970 (340)
Geometry of positive scalar curvature on complete manifold [PDF]
Journal für die Reine und Angewandte Mathematik, 2022 In this paper, we study the interplay of geometry and positive scalar curvature on a complete, non-compact manifold with non-negative Ricci curvature.
Bo Zhu
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Weak scalar curvature lower bounds along Ricci flow [PDF]
Science China Mathematics, 2021 In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon (2002) that the Ricci flow exists for a short time.
Wenshuai Jiang +2 more
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dp–convergence and 𝜖–regularity theorems for entropy and scalar curvature lower bounds [PDF]
Geometry & Topology, 2020 Consider a sequence of Riemannian manifolds $(M^n_i,g_i)$ with scalar curvatures and entropies bounded below by small constants $R_i,\mu_i \geq-\epsilon_i$.
Man-Chun Lee, A. Naber, Robin Neumayer
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Kropina Metrics with Isotropic Scalar Curvature
Axioms, 2023 In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
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On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
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Rigidity results for complete manifolds with nonnegative scalar curvature [PDF]
Journal of differential geometry, 2020 In this paper, we are going to show some rigidity results for complete open Riemannian manifolds with nonnegative scalar curvature. Without using the famous Cheeger-Gromoll splitting theorem we give a new proof to a rigidity result for complete manifolds
Jintian Zhu
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Total mean curvature of the boundary and nonnegative scalar curvature fill-ins [PDF]
Journal für die Reine und Angewandte Mathematik, 2020 In the first part of this paper, we prove the extensibility of an arbitrary boundary metric to a positive scalar curvature (PSC) metric inside for a compact manifold with boundary, completely solving an open problem due to Gromov (see Question 1.1). Then
Yuguang Shi, Wenlong Wang, Guodong Wei
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Scalar and mean curvature comparison via the Dirac operator [PDF]
Geometry & Topology, 2021 We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the interior and on the mean curvature of the boundary.
Simone Cecchini, Rudolf Zeidler
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Cubo, 2023 In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi +3 more
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Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature
AIMS Mathematics, 2023 In this paper, we present translation hypersurfaces of semi-Euclidean spaces with zero scalar curvature. In addition, we prove that translation hypersurfaces with constant scalar curvature must have zero scalar curvature in the semi-Euclidean space ...
Derya Sağlam, Cumali Sunar
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