摘要
本文推导了拟Hermite流形间拟调和映照的第二变分公式.当目标流形为复Euclid空间中等距嵌入CR流形或者是Heisenberg群中的拟Hermite浸入子流形时,本文给出了在Weingarten变换满足一定条件下,有关拟调和映照不稳定性的若干结果.
In this paper, we derive the second variation formula of pseudoharmonic maps into any pseudo- Hermite manifolds. When the target manifold is an isometric embedded CR manifold in complex Euclidean space or a pseudo-Hermite immersed submanifold in Heisenberg group, we give some conditions on Weingarten maps to obtain some unstability of pseudoharmonic maps between these pseudo-Hermite manifolds.
出处
《中国科学：数学》
CSCD
北大核心
2015年第6期795-818,共24页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11271071)
复旦大学非线性数学模型与方法开放实验室资助项目
