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Harmonic maps of finite energy for Finsler manifolds.
- Source :
-
Journal of Geometry & Physics . Mar2018, Vol. 126, p159-167. 9p. - Publication Year :
- 2018
-
Abstract
- In this paper, we study some properties of harmonic maps for Finsler manifolds. Some Liouville theorems on harmonic maps for Finsler manifolds are given. Let M be a complete simply connected Riemannian manifold with non-negative Ricci curvature and M ¯ be a complete Berwald manifold with non-positive flag curvature. The main purpose of this paper is to prove that there exists no non-degenerate harmonic map ϕ from M to M ¯ with ∫ S M e ( ϕ ) d V S M < ∞ , which generalizes the result of Schoen and Yau (1976) from Riemannian manifolds to Berwald manifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 126
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 128126391
- Full Text :
- https://doi.org/10.1016/j.geomphys.2018.01.013