Maps With Prescribed Tension Fields
Wenyi Chen and Jürgen Jost
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Submission date: 20. Mar. 2003
published in: Communications in analysis and geometry, 12 (2004) 1, p. 93-109
MSC-Numbers: 58E20, 53C22
Keywords and phrases: tension field, jacobi fields, heat flow
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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.