Obata’s Rigidity Theorem for Metric Measure Spaces

• Autorzy: Christian Ketterer
• Języki publikacji: EN

Abstrakty

EN

We prove Obata’s rigidity theorem for metric measure spaces that satisfy a Riemannian curvaturedimension condition. Additionally,we show that a lower bound K for the generalizedHessian of a sufficiently regular function u holds if and only if u is K-convex. A corollary is also a rigidity result for higher order eigenvalues.

Słowa kluczowe

EN

eigenvalue; suspension; Hessian; convexity

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-03-01

zaakceptowano

2015-08-25

online

2015-10-01

Twórcy

autor

Christian Ketterer

• University of Freiburg Freiburg, Germany, Germany

Bibliografia

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Identyfikatory

DOI

10.1515/agms-2015-0016