A rigidity result for coisotropic submanifolds in contact geometry
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DOI: 10.1007/s00209-024-03633-2
Abstract: We study coisotropic deformations of a compact regular coisotropic submanifold C in a contact manifold (M,ξ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(M,\xi )$$\end{document}. Our main result states that C is rigid among… read more here.
Keywords: rigidity result; coisotropic; coisotropic submanifolds; geometry ... See more keywords
A rigidity result for ancient Ricci flows
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DOI: 10.1007/s00209-025-03749-z
Abstract: Using a size condition of the sharp log Sobolev functional (log entropy) near infinity only, we prove a rigidity result for ancient Ricci flows without sign condition on the curvatures. The result is also related… read more here.
Keywords: rigidity result; result ancient; ricci flows; ancient ricci ... See more keywords
Rigidity of outermost MOTS: the initial data version
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DOI: 10.1007/s10714-018-2353-9
Abstract: In the paper Commun Anal Geom 16(1):217–229, 2008, a rigidity result was obtained for outermost marginally outer trapped surfaces (MOTSs) that do not admit metrics of positive scalar curvature. This allowed one to treat the… read more here.
Keywords: rigidity result; data version; topology; rigidity ... See more keywords