【摘要】 讨论p-H-调和映射的一阶和二阶变分计算,作为应用,我们利用变分计算公式证明了一个稳定性定理:设Mm是一紧致无边的黎曼流形,Sn是n维单位球面.如果u是从Mm到Sn的稳定的p-H-调和映射(n>p),并且HessH≤0,则u是常值映射.更多还原

【Abstract】 In this paper, we discuss the first and second variations of p-H-Harmonic maps. As an application of the Variational formulas, we prove a stable theorem: Let M~m be a compact Riemannian manifold, S~n is of n dimensional unit sphere. If u is a stable p-H-Harmonic map(n>p), and HessH≤0, then u is constant.更多还原