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수학교육과
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Royden Decomposition for Harmonic Maps with Finite Total Energy
Title
Royden Decomposition for Harmonic Maps with Finite Total Energy
Authors
Lee Y.H.
Ewha Authors
이용하
SCOPUS Author ID
이용하
Issue Date
2017
Journal Title
Results in Mathematics
ISSN
1422-6383
Citation
Results in Mathematics vol. 71, no. 42798.0, pp. 687 - 692
Keywords
53C43
;
58E20
;
harmonic boundary
;
Harmonic map
;
Royden decomposition
Publisher
Birkhauser Verlag AG
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We prove the harmonic map version of the Royden decomposition in the sense that given any bounded C1-map f with finite total energy on a complete Riemannian manifold into a Cartan-Hadamard manifold, there exists a unique bounded harmonic map with finite total energy from the manifold into the Cartan-Hadamard manifold taking the same boundary value at each harmonic boundary point as that of f. © 2015, Springer Basel.
DOI
10.1007/s00025-015-0503-x
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