Results 251 to 260 of about 2,699,199 (290)

Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature

, 2020
Citation in format AMSBIB \Bibitem{Ano67} \by D.~V.~Anosov \paper Geodesic flows on closed Riemannian manifolds of negative curvature \serial Trudy Mat. Inst. Steklov. \yr 1967 \vol 90 \pages 3--210 \mathnet{http://mi.mathnet.ru/tm2795} \mathscinet{http:/
D. Anosov
semanticscholar   +1 more source

A Note on Serrin’s Type Problem on Riemannian Manifolds

Journal of Geometric Analysis, 2023
In this paper, we deal with Serrin-type problems in Riemannian manifolds. First, we obtain a Heintze-Karcher inequality and a Soap Bubble result, with its respective rigidity, when the ambient space has a Ricci tensor bounded below.
A. Freitas, Alberto Roncoroni, Márcio S. Santos   +2 more
semanticscholar   +1 more source

A revisit to “On BMO and Carleson measures on Riemannian manifolds”

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023
Let $\mathcal {M}$ be an Ahlfors $n$ -regular Riemannian manifold such that either the Ricci curvature is non-negative or the Ricci curvature is bounded from below together with a bound on the gradient of the heat kernel.
Bo Li, Jinxia Li, Qingze Lin, Bolin Ma, Tianjun Shen   +4 more
semanticscholar   +1 more source

Roughness of Geodesic Flows on Compact Riemannian Manifolds of Negative Curvature

, 2020
A stabilized composition of modified polyphenylene oxide comprising a graft polymer obtained by polymerizing a styrene-type compound in the presence of a polyphenylene oxide with or without a rubber-like polymer and incorporated with (a) 0.1 to 10 ...
D. Anosov
semanticscholar   +1 more source

Mean Curvature of Riemannian Immersions

, 1971
1. Let M and M' denote complete riemannian manifolds of dimension n and m respectively, and suppose that M is compact and oriented. For simplicity we assume that both manifolds and their metrics are smooth (i.e. of class C).
T. Willmore
semanticscholar   +1 more source

Separation Conditions for Iterated Function Systems with Overlaps on Riemannian Manifolds

Journal of Geometric Analysis, 2022
We formulate the weak separation condition and the finite type condition for conformal iterated function systems on Riemannian manifolds with nonnegative Ricci curvature, and generalize the main theorems by Lau et al.
Sze-Man Ngai, Yangyang Xu
semanticscholar   +1 more source

Solvability of a semilinear heat equation on Riemannian manifolds

Journal of evolution equations (Printed ed.), 2022
We study the solvability of the initial value problem for the semilinear heat equation $$u_t-\Delta u=u^p$$ u t - Δ u = u p in a Riemannian manifold M with a nonnegative Radon measure $$\mu $$ μ on M as initial data. We give sharp conditions on the local-
J. Takahashi, Hikaru Yamamoto
semanticscholar   +1 more source

Sobolev Inequalities in Manifolds With Nonnegative Intermediate Ricci Curvature

Journal of Geometric Analysis, 2023
We prove Michael-Simon type Sobolev inequalities for n -dimensional submanifolds in $$(n+m)$$ ( n + m ) -dimensional Riemannian manifolds with nonnegative k th intermediate Ricci curvature by using the Alexandrov-Bakelman-Pucci method. Here $$k=\min (n-1,
Hui Ma, Jing Wu
semanticscholar   +1 more source

Vanishing Theorems for Riemannian Manifolds with Nonnegative Scalar Curvature and Weighted p-Poincaré Inequality

Bulletin of the Malaysian Mathematical Sciences Society, 2021
D. T. Pham, D. T. Nguyen
semanticscholar   +1 more source

Scalar curvature and volume of a Riemannian manifold

Geometriae Dedicata, 1995
The link between volume and scalar curvature of a Riemannian manifold does not have such an easy description. In dimension two, for example, in the case of the standard sphere, the classical Gauss-Bonnet theorem relates the two concepts, i.e. the total curvature of the sphere is 4π times the volume of the sphere.
openaire   +2 more sources