- Turkish Journal of Mathematics
- Volume:32 Issue:2
- Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1
Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1
Authors : Jiancheng LIU
Pages : 117-126
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Publication Date : 0000-00-00
Article Type : Research Paper
Abstract :In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic map f, between Mm and any compact Riemannian manifold, is unstable if insert ignore into journalissuearticles values(4); holds.Keywords : Exponentially harmonic map, instability, convex hypersurface