Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in R^{m+1}

Authors

JIANCHENG LIU

Abstract

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

DOI

-

Keywords

Exponentially harmonic map, instability, convex hypersurface

First Page

117

Last Page

126

Recommended Citation

LIU, J (2008). Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in R^{m+1}. Turkish Journal of Mathematics 32 (2): 117-126. https://doi.org/-