摘要
对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式,研究强垂直调和映射的稳定性。得到球面和球面中某些子流形到任意黎曼流形的非平凡的稳定强垂直调和映射的不存在性定理。
The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner. It is proved that any non-trivial strong vertical harmonic map from the Euclidean sphere to a Riemannian manifold is unstable. This generilized the results due to Wood, Mazet and Xin.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
1993年第4期443-446,共4页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金
