Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds
Differential Geometry
2014-02-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1402.6885,
title = {Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds},
author = {Tian Chong and Yuxin Dong and Yibin Ren},
journal= {arXiv preprint arXiv:1402.6885},
year = {2014}
}
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30 Pages