A Note on Energy Minimizing Map on Manifold with Isolated Peaks

  • Shin, Heayong

초록

In this paper, we consider some homogeneous maps from a cone over 2-spheres and determines whether they become energy minimizing maps or not. In fact,any homogeneous map from a standard cone over 2-sphere of radius smaller than 1 cannot be a minimizing harmonic map.

키워드

harmonic mapsingularity
제목
A Note on Energy Minimizing Map on Manifold with Isolated Peaks
저자
Shin, Heayong
발행일
2002
저널명
Journal of the Korean Society for Industrial and Applied Mathematics
6
1
페이지
59 ~ 66