Weakly PIC1 Manifolds with Maximal Volume Growth

In this article we study the local estimates of Ricci flow when the curvature of the initial metric is of almost PIC1 and use it to study complete manifolds with weakly PIC1 and maximal volume growth.

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Bibliographic Details
Published inThe Journal of geometric analysis Vol. 31; no. 11; pp. 10868 - 10885
Main Authors He, Fei, Lee, Man-Chun
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2021
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Manifolds
Mathematics
Mathematics and Statistics
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Summary:In this article we study the local estimates of Ricci flow when the curvature of the initial metric is of almost PIC1 and use it to study complete manifolds with weakly PIC1 and maximal volume growth.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-021-00667-4