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arxiv: 1402.6885 · v1 · pith:5JEPVRT7new · submitted 2014-02-27 · 🧮 math.DG

Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds

classification 🧮 math.DG
keywords mapspseudo-hermitianmanifoldspseudoharmonicmanifoldsomeunstabilitycomplex
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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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