Turkish Journal of Mathematics
DOI
-
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
First Page
117
Last Page
126
Recommended Citation
LIU, JIANCHENG (2008) "Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in R^{m+1}," Turkish Journal of Mathematics: Vol. 32: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol32/iss2/1