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On the long time existence and convergence of inverse curvature flow in anti-deSitter-Schwarzschild space
Contents
Abstract
Acknowledgments
Contents
1 Introduction
2 The Main Result and Previous Research
2.1 The Main Result
2.2 Previous research
3 Background and Preliminary Results
3.1 Geometry of Submanifolds
3.2 Rotationally symmetric space and Anti-deSitter-Schwarzschild Space
3.3 Properties of Symmetric Function
3.4 Inverse Curvature Flow
3.5 Maximum Principle
4 Proof of the Main Result
4.1 Long-time Existence of Inverse Curvature Flow in Euclidean Space
4.2 Long-time Existence and Convergence in Anti-deSitter-Schwarzschild Space
4.2.1 Preliminaries
4.2.2 Long-time Existence of the Flow and Convergence of the Second Fundamental Form
References Bài viết liên quan
