Obata’s Rigidity Theorem for Metric Measure Spaces
Abstract: 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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Obata’s Rigidity Theorem for Metric Measure Spaces ; volume:3 ; number:1 ; year:2015 ; extent:18
Analysis and geometry in metric spaces ; 3, Heft 1 (2015) (gesamt 18)
- Creator
-
Ketterer, Christian
- DOI
-
10.1515/agms-2015-0016
- URN
-
urn:nbn:de:101:1-2024041116431258641076
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 14.08.2025, 10:54 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Ketterer, Christian
Other Objects (12)
Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
Metric measure spaces of economic agents
Harmonic functions on metric measure spaces
Inverse Function Theorems and Jacobiansover Metric Spaces
Fixed point theorems in convex metric spaces
COMMON FIXED POINT THEOREMS IN METRIC SPACES
A fixed point theorem for metric spaces
Angles between Curves in Metric Measure Spaces
Fractional Maximal Functions in Metric Measure Spaces
Dislocated metric space to metric spaces with some fixed point theorems
Generalized probabilistic metric spaces and fixed point theorems
Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
Metric measure spaces of economic agents
Harmonic functions on metric measure spaces
Inverse Function Theorems and Jacobiansover Metric Spaces
Fixed point theorems in convex metric spaces
COMMON FIXED POINT THEOREMS IN METRIC SPACES
A fixed point theorem for metric spaces
Angles between Curves in Metric Measure Spaces
Fractional Maximal Functions in Metric Measure Spaces
Dislocated metric space to metric spaces with some fixed point theorems
Generalized probabilistic metric spaces and fixed point theorems
Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
Metric measure spaces of economic agents
Harmonic functions on metric measure spaces
Inverse Function Theorems and Jacobiansover Metric Spaces
Fixed point theorems in convex metric spaces
COMMON FIXED POINT THEOREMS IN METRIC SPACES
A fixed point theorem for metric spaces
Angles between Curves in Metric Measure Spaces
Fractional Maximal Functions in Metric Measure Spaces
Dislocated metric space to metric spaces with some fixed point theorems