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Sharp spectral gaps on metric measure spaces (Q262212)

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Language	Label	Description	Also known as
English	Sharp spectral gaps on metric measure spaces	scientific article

Statements

scholarly article

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Sharp spectral gaps on metric measure spaces (English)

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Calculus of Variations and Partial Differential Equations

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publication date

29 March 2016

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full work available at URL

https://arxiv.org/abs/1503.00203

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MaRDI profile type

MaRDI publication profile

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Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

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Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

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Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue

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Some new results on eigenvectors via dimension, diameter, and Ricci curvature

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Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

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Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds

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Sharp spectral gap and Li-Yau's estimate on Alexandrov spaces

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Differentiability of Lipschitz functions on metric measure spaces

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Application of coupling method to the first eigenvalue on manifold

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General formula for lower bound of the first eigenvalue on Riemannian manifolds

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Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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Li-Yau and Harnack type inequalities in \(\text{RCD}^\ast (K,N)\) metric measure spaces

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Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below

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Sobolev met Poincaré

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Cheeger-harmonic functions in metric measure spaces revisited

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Hamilton's gradient estimates and a monotonicity formula for heat flows on metric measure spaces

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Cones over metric measure spaces and the maximal diameter theorem

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Obata's rigidity theorem for metric measure spaces

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On the spectral gap for compact manifolds

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Ricci curvature for metric-measure spaces via optimal transport

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Weak curvature conditions and functional inequalities

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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Harmonic functions on Alexandrov spaces and their applications

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Local Poincaré inequalities from stable curvature conditions on metric spaces

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Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces

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Eigenvalues and suspension structure of compact Riemannian orbifolds with positive Ricci curvature

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Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

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On the geometry of metric measure spaces. I

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On the geometry of metric measure spaces. II

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A sharp lower bound for the first eigenvalue on Finsler manifolds

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Ricci curvature on Alexandrov spaces and rigidity theorems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00526-016-0952-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:262212

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