Complete Ricci Solitons via Estimates on the Soliton Potential-Reference-Cited by-同舟云学术

Complete Ricci Solitons via Estimates on the Soliton Potential

Published:2020-06-25 Issue:6 Volume:2021 Page:4487-4521
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Wink Matthias¹

Affiliation:

1. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, CA 90095, USA

Abstract

Abstract In this paper, a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the setups of Lü–Page–Pope [24] and Dancer–Wang [17]. It also provides a different approach to the two summands system [30] that applies to all known geometric examples.

Funder

EPSRC Research Studentship

German National Academic Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/6/4487/36604829/rnaa147.pdf

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