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”.
Manuscripta Mathematica – Springer Journals
Published: Jan 5, 2017
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