Paper
A Note on the Curve and Surface Contracting Flow
- Authors:
- Xiang Gao
- Abstract
- In this note, we present a simple approach to calculate the time of blowing up along the curve and surface contracting flow. Our approach dependents on the famous theorem of turning tangents, Gauss-Bonnet Theorem and Willmore Theorem. We also prove that the rotation index of a closed curve and the Euler characteristic of a closed surface are constants along the curve and surface contracting flow.
- Keywords
- curve contracting flow; surface contracting flow; square mean curvature flow; theorem of turning tangents; Gauss-Bonnet Theorem; Willmore Theorem
- StartPage
- 7
- EndPage
- 10
- Doi