伪厄米流形间伪调和映射的不稳定性
Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds
摘要：
本文给出了到任意伪厄米流形的伪调和映射的二阶变分公式。当目标流形是复欧几里得空间中的等距嵌入CR流形或Heisenberg群中的伪Hermite浸入子流形时，给出了Weingarten映射的一些条件，从而得到了这些伪Hermite流形之间的伪调和映射的一些不稳定性.
英文摘要：
In this paper, we derive the second variation formula of pseudoharmonic maps into any pseudo-Hermitian manifolds. When the target manifold is an isometric embedded CR manifold in complex Euclidean space or a pseudo-Hermitian immersed submanifold in Heisenberg group, we give some conditions on Weingarten maps to obtain some unstability of pseudoharmonic maps between these pseudo-Hermitian manifolds.
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