Submanifolds, isoperimetric inequalities and optimal transportation

DOI10.1016/j.jfa.2010.03.001zbMath1194.53006arXiv1203.2482OpenAlexW2047684332WikidataQ126199673 ScholiaQ126199673MaRDI QIDQ982491

Philippe Castillon, Andrea Sambusetti

Publication date: 7 July 2010

Published in: Mathematische Zeitschrift, Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2711

zbMATH Keywords

spectrumisoperimetric inequalityrigiditysubmanifoldasymptotic geometryBusemann functionCartan-Hadamard manifoldRiccati equationLaplacianSobolev inequalityoptimal transportationhorosphereasymptotically harmonic manifoldsMargulis functionvisual and harmonic measures

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)

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