Lorentzian Legendrian mean curvature flow

被引：0
作者：
Lars Schäfer
机构：
[1] Leibniz Universität Hannover,Institut Differentialgeometrie
来源：
Mathematische Zeitschrift | 2013年 / 274卷
关键词：
Curvature Flow; Einstein Manifold; Lagrangian Submanifolds; Lorentzian Manifold; Contact Manifold;
D O I：
暂无
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学科分类号：
摘要：
In this paper we generalize the Legendrian mean curvature flow to Lorentzian geometry. More precisely, we study the case, where the ambient manifold is a Lorentzian Sasaki \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\eta $$\end{document}-Einstein manifold. For Legendrian curves we establish convergence results in Theorems 1.1 and 1.2 and we derive estimates for the Legendrian angle for arbitrary dimensions in Theorem 1.3.
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页码：1093 / 1111
页数：18
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