Heat flow for harmonic maps from graphs into Riemannian manifolds

被引：0
|
作者：
Baird, Paul [1 ]
Fardoun, Ali [1 ]
Regbaoui, Rachid [1 ]
机构：
[1] Univ Bretagne Occidentale, Lab Math, UMR CNRS 6205, 6 Ave Gorgeu, F-29238 Brest 3, France
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 176卷
关键词：
Combinatorial graph; Harmonic map; Heat flow; MAPPINGS;
D O I：
10.1016/j.geomphys.2022.104496
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of harmonic map from a graph into a Riemannian manifold via a discrete version of the energy density. Existence and basic properties are established. Global existence and convergence of the associated heat flow are proved without any assumption on the curvature of the target manifold. We discuss a variant of the Steiner problem which replaces length by elastic energy. (c) 2022 Elsevier B.V. All rights reserved.
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页数：11
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