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

For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a series of sharp functional inequalities under the additional "essentially nonbranching" assumption. Examples of spaces entering this framework are (weighted) Riemannian manifolds satisfying l...

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Hlavní autoři: Cavalletti, F, Mondino, A
Médium: Journal article
Jazyk:English
Vydáno: Mathematical Sciences Publishers 2017