Maps With Prescribed Tension Fields

Wenyi Chen and Jürgen Jost

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Submission date: 20. Mar. 2003
Pages: 16
published in: Communications in analysis and geometry, 12 (2004) 1, p. 93-109 
DOI number (of the published article): 10.4310/CAG.2004.v12.n1.a6
Bibtex
MSC-Numbers: 58E20, 53C22
Keywords and phrases: tension field, jacobi fields, heat flow
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Abstract:
We consider maps into a Riemannian manifold of nonpositive sectional curvature with prescribed tension field. We derive a priori estimates and solve a Dirichlet problem.