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ANCIENT SOLUTIONS OF CODIMENSION TWO SURFACES WITH CURVATURE PINCHING - RETRACTED

Part of: Global differential geometry Parabolic equations and systems

Published online by Cambridge University Press:  06 March 2020

ZHENGCHAO JI Open the ORCID record for ZHENGCHAO JI [Opens in a new window]
ZHENGCHAO JI*
Affiliation:
Center of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, PR China email jizhengchao@zju.edu.cn
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Abstract

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We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient solutions for the mean curvature flow in codimension two surfaces.

Keywords

ancient solutionsmean curvature flow

MSC classification

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K55: Nonlinear parabolic equations

Information

Type
Retraction
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 1 , August 2020 , pp. 162 - 171
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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