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Computing and Visualization in Science
, Volume 7, Issue 1, pp 5359
First online:
Construction of harmonic map flows through the method of discrete Morse flows
 Junichi HagaAffiliated withDepartment of Mathematics, Keio University
 , Keisuke HoshinoAffiliated withDepartment of Mathematics, Chiba Institute of Technology
 , Norio KikuchiAffiliated withDepartment of Mathematics, Keio University Email author
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By the method of discrete Morse flows, we construct the Morse flow of harmonic map from a Riemannian manifold with measurable and bounded metric into that with Alexander nonpositive curvature. The construction is directly derived without isometrically embedding of the target manifold into Euclidean space. Our method will be in force in the case, as treated in [11], where a target manifold has the bounded positive curvature.
 Title
 Construction of harmonic map flows through the method of discrete Morse flows
 Journal

Computing and Visualization in Science
Volume 7, Issue 1 , pp 5359
 Cover Date
 200406
 DOI
 10.1007/s0079100401307
 Print ISSN
 14329360
 Online ISSN
 14330369
 Publisher
 Springer Berlin Heidelberg
 Additional Links
 Topics
 Authors

 Junichi Haga ^{(1)}
 Keisuke Hoshino ^{(2)}
 Norio Kikuchi ^{(1)}
 Author Affiliations

 1. Department of Mathematics, Keio University, Hiyoshi, 2238522, Yokohama, Japan
 2. Department of Mathematics, Chiba Institute of Technology, Shibazono, 2750023, Narashino, Japan