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.

Keywords: Exponentially harmonic map, instability, convex hypersurface

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