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《Science China(Mathematics)》 2013年05期
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Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

YANG GuiLin  HAN YingBo  DONG YuXin  
【摘要】:In this paper,we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into K¨ahler manifold.Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V=JMδJM satisfies some decay conditions,we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps.These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.

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