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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