Nonexistence of stable exponentially harmonic maps from or into compact convex hypersurfaces in Rm+1

作者：Liu Jiancheng^*

来源：Turkish Journal of Mathematics, 2008, 32(2): 117-126.

• exponentially harmonic map
• instability
• convex hypersurface

In this paper, we study the nonexistence problems for stable exponentially haxmonic map into or from compact convex hypersurface M-m subset of Rm+1, and show that every nonconstant exponentially harmonic map f, between M-m and any compact Riemannian manifold, is unstable if (4) holds.

• 出版日期2008
• 单位西北师范大学