Results 211 to 220 of about 412,587 (240)

Rigidities of isoperimetric inequality under nonnegative Ricci curvature

Journal of the European Mathematical Society (Print), 2022
The sharp isoperimetric inequality for non-compact Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth has been obtained in increasing generality with different approaches in a number of contributions culminated by Balogh ...
Fabio Cavalletti, D. Manini
semanticscholar   +1 more source

Positive Intermediate Ricci Curvature on Fibre Bundles

Symmetry, Integrability and Geometry: Methods and Applications, 2022
We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures ...
Philipp Reiser, D. Wraith
semanticscholar   +1 more source

Complete Logarithmic Sobolev inequality via Ricci curvature bounded below II

Journal of Topology and Analysis (JTA), 2021
We study the “geometric Ricci curvature lower bound”, introduced previously by Junge, Li and LaRacuente, for a variety of examples including group von Neumann algebras, free orthogonal quantum groups [Formula: see text], [Formula: see text]-deformed ...
Michael Brannan, Li Gao, M. Junge
semanticscholar   +1 more source

Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature

Mathematische Annalen, 2020
By using optimal mass transport theory we prove a sharp isoperimetric inequality in $${\textsf {CD}} (0,N)$$ CD ( 0 , N ) metric measure spaces assuming an asymptotic volume growth at infinity.
Z. Balogh, Alexandru Krist'aly
semanticscholar   +1 more source

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

Inventiones Mathematicae, 2018
In this paper we consider complete noncompact Riemannian manifolds (M, g) with nonnegative Ricci curvature and Euclidean volume growth, of dimension n≥3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Virginia Agostiniani, Mattia Fogagnolo, L. Mazzieri   +2 more
semanticscholar   +1 more source

Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below

Geometric and Functional Analysis, 2018
We show that non-collapsed Gromov–Hausdorff limits of polarized Kähler manifolds, with Ricci curvature bounded below, are normal projective varieties, and the metric singularities of the limit space are precisely given by a countable union of analytic ...
Gang Liu, G'abor Sz'ekelyhidi
semanticscholar   +1 more source

On 3-manifolds with pointwise pinched nonnegative Ricci curvature

Mathematische Annalen, 2019
There is a conjecture that a complete Riemannian 3-manifold with bounded sectional curvature, and pointwise pinched nonnegative Ricci curvature, must be flat or compact. We show that this is true when the negative part (if any) of the sectional curvature
J. Lott
semanticscholar   +1 more source

On orthogonal Ricci curvature

Advances in Complex Geometry, 2019
In this paper we discuss some recent progresses in the study of compact Kähler manifolds with positive orthogonal Ricci curvature, a curvature condition defined as the difference between Ricci curvature and holomorphic sectional curvature.
Lei Ni, F. Zheng
semanticscholar   +1 more source

On Compact Riemannian Manifolds with Convex Boundary and Ricci Curvature Bounded from Below

, 2019
We propose to study positive harmonic functions satisfying a nonlinear Neuman condition on a compact Riemannian manifold with nonnegative Ricci curvature and strictly convex boundary. A precise conjecture is formulated.
Xiaodong Wang
semanticscholar   +1 more source

Forman's Ricci curvature - From networks to hypernetworks

International Workshop on Complex Networks & Their Applications, 2018
Networks and their higher order generalizations, such as hypernetworks or multiplex networks are ever more popular models in the applied sciences. However, methods developed for the study of their structural properties go little beyond the common name ...
Emil Saucan, Melanie Weber
semanticscholar   +1 more source