- Turkish Journal of Mathematics
- Vol: 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
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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 (4) holds.Keywords : Exponentially harmonic map, instability, convex hypersurface