Rigidity Theorem for Integral Pinched Static Manifolds and Related Critical Spaces

The aim of this paper is to investigate positive static triples, critical metrics of volume functional, and critical metrics of the total scalar curvature functional satisfying a L n / 2 -pinching condition.

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Bibliographic Details
Published in:The Journal of geometric analysis 2024-06, Vol.34 (6), Article 158
Main Authors: Baltazar, H., Queiroz, C.
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
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Description
Summary:The aim of this paper is to investigate positive static triples, critical metrics of volume functional, and critical metrics of the total scalar curvature functional satisfying a L n / 2 -pinching condition.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-024-01603-y