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Weakly PIC1 manifolds with maximal volume growth by He, Fei; Lee, Man-Chun is a scholarly article available to read on EtoBox.

What is Weakly PIC1 manifolds with maximal volume growth about?

In this article we use Ricci flow to show that complete PIC1 manifolds with maximal volume growth are diffeomorphic to $\mathbb{R}^n$. One of the key ingredients is local estimates of curvature lower bounds on an initial time interval of the Ricci flow. As another application of these estimates we obtain pseudolocality type results related to the PIC1 condition.

Author

He, Fei; Lee, Man-Chun

Published

2018

Language

EN