指数型调和映射

江苑珍, 潘恒

数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 131-140.

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数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 131-140. DOI: 10.12386/A2015sxxb0014
论文

指数型调和映射

    江苑珍1, 潘恒2
作者信息 +

On Exponentially Harmonic Maps

    Yuan Jen CHIANG1, Heng PAN2
Author information +
文章历史 +

摘要

证明了在适当条件下,指数型能量和指数型调和映射是共形不变的.我们主要研究了指数型调和的黎曼淹没和等距浸入,还研究了与黎曼等距浸入相关的高斯映射是指数型调和.

Abstract

We show that both exponential energy and exponentially harmonic map are conformally invariant under a circumstance. We investigate exponentially harmonic Riemannian submersions and exponentially harmonic isometric immersions. We also examine the associated Gauss map of a Riemannian isometric immersion which is exponentially harmonic.

关键词

指数型能量 / 指数应力场 / 指数型调和映射

Key words

exponential energy / exponential tension field / exponentially harmonic map

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江苑珍, 潘恒. 指数型调和映射. 数学学报, 2015, 58(1): 131-140 https://doi.org/10.12386/A2015sxxb0014
Yuan Jen CHIANG, Heng PAN. On Exponentially Harmonic Maps. Acta Mathematica Sinica, Chinese Series, 2015, 58(1): 131-140 https://doi.org/10.12386/A2015sxxb0014

参考文献

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基金

江苑珍获玛丽华盛顿大学教授研究补助基金,2014年8月于南韩汉城国际数学家大会讲演此文

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