Results 1 to 10 of about 1,619 (92)
A note on the almost-Schur lemma on smooth metric measure spaces. [PDF]
J Inequal Appl, 2018 In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X.
Chen JT.
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Tachibana-type theorems on complete manifolds [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2022 We prove that a compact Riemannian manifold of dimension m ≥ 3 with harmonic curvature and ⌊ 2 ⌋-positive curvature operator has constant sectional curvature, extending the classical Tachibana theorem for manifolds with positive curvature operator.
G. Colombo, Marco Mariani, M. Rigoli
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Curvature estimates for $p$-convex hypersurfaces of prescribed curvature [PDF]
Revista matemática iberoamericana, 2021 . In this paper, we establish curvature estimates for p -convex hypersurfaces in R n +1 of prescribed curvature with p ≥ n 2 . The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior C 2 estimates
Weisong Dong
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Extremal subsets in geodesically complete spaces with curvature bounded above
Analysis and Geometry in Metric Spaces, 2023 We introduce the notion of an extremal subset in a geodesically complete space with curvature bounded above, i.e., a GCBA space. This is an analog of an extremal subset in an Alexandrov space with curvature bounded below introduced by Perelman and ...
Fujioka Tadashi
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Remarks on Manifolds with Two-Sided Curvature Bounds
Analysis and Geometry in Metric Spaces, 2021 We discuss folklore statements about distance functions in manifolds with two-sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.
Kapovitch Vitali, Lytchak Alexander
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Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds [PDF]
, 2008 We apply an equivariant version of Perelman’s Ricci flow with surgery to study smooth actions by finite groups on closed 3‐manifolds. Our main result is that such actions on elliptic and hyperbolic 3‐manifolds are conjugate to isometric actions ...
Jonathan Dinkelbach, B. Leeb
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The Weyl tensor of gradient Ricci solitons [PDF]
, 2013 This paper derives new identities for the Weyl tensor on a gradient Ricci soliton, particularly in dimension four. First, we prove a Bochner‐Weitzenbock-type formula for the norm of the self-dual Weyl tensor and discuss its applications, including ...
Xiaodong Cao, Hung Tran
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Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
Analysis and Geometry in Metric Spaces, 2022 We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng +2 more
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Gradient estimates for a weighted nonlinear parabolic equation and applications
Open Mathematics, 2020 This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold.
Abolarinwa Abimbola +2 more
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Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian
, 2020 In this paper, we investigate the p -Laplacian Δp on a complete noncompact submanifold of a Riemannian manifold with sectional curvature bounded above by a negative constant. Moreover, we study the weighted p -Laplacian Δp,φ on an n -dimensional complete
He-Jun Sun +2 more
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