Harmonic Maps Between Complex Finsler Manifolds

doi:10.3969/j.issn.0253-374x.2012.10.024

Home > Archive>Volume 40, Issue 10, 2012 >1569-1572. DOI:10.3969/j.issn.0253-374x.2012.10.024

Harmonic Maps Between Complex Finsler Manifolds
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                        10.3969/j.issn.0253-374x.2012.10.024
                    
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                        XIAO JinxiuXIAO Jinxiu
School of Advanced Vocational Education, Shanghai University of Engineering Science, Shanghai 200437, China
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HE QunHE Qun
Department of Mathematics, Tongji University, Shanghai 200092, China
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CHEN ZhihuaCHEN Zhihua
Department of Mathematics, Tongji University, Shanghai 200092, China
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QIU ChunhuiQIU Chunhui
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
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Clc Number:O174.56
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Abstract:

The variation formula of ?-energy and ?-energy is obtained for a smooth map between strongly pseudoconvex complex Finsler manifolds. Also, for such maps, the difference between ?-energy and ?-energy proves to be not a homotopy invariant on complex Finsler manifold.

Key words:Laplacian; complex Finsler metric; harmonic map; ?-energy

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XIAO Jinxiu, HE Qun, CHEN Zhihua, QIU Chunhui. Harmonic Maps Between Complex Finsler Manifolds[J].同济大学学报(自然科学版),2012,40(10):1569~1572

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Received:September 01,2011
Revised:July 09,2012
Adopted:December 28,2011
Online: October 26,2012
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