Vanishing theorems for harmonic mappings into non-negatively curved manifolds and their applications

Vanishing theorems for harmonic mappings into non-negatively curved manifolds and their applications In our paper we develop a theory of harmonic mappings of Riemannian manifolds into non-negatively curved Riemannian manifolds and give the geometric applications of these results to the theory of contraction maps of Riemannian manifolds and of holomorphic maps of almost Kählerian manifolds. In conclusion, we give the applications of our results to addressing the well known “prescribed Ricci curvature problem”. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Manuscripta Mathematica Springer Journals

Vanishing theorems for harmonic mappings into non-negatively curved manifolds and their applications

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Algebraic Geometry; Topological Groups, Lie Groups; Geometry; Number Theory; Calculus of Variations and Optimal Control; Optimization
ISSN
0025-2611
eISSN
1432-1785
D.O.I.
10.1007/s00229-016-0910-7
Publisher site
See Article on Publisher Site

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