Leaf-wise Harmonic Maps of Manifolds with 2-dimensional Foliations
by Yuan-Jen Chiang  

Vol. 11 No. 2 (2016) P.343~P.357

ABSTRACT

We derive the expressions of harmonic non ± holomorphic maps of Riemann surfaces. We study the relationship between leaf-wise harmonic maps and harmonic maps. We investigate the Gauss-Bonnet theorem for leaf-wise harmonic maps of manifolds with 2- dimensional foliations.

KEYWORDS
Leaf-wise harmonic map, harmonic map, Gauss-Bonnet theorem

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 58E20, 53C12, 58 G11

MILESTONES

Received: 2015-04-27
Revised : 2015-06-04
Accepted: 2015-06-05

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