Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Existence d'applications harmoniques tordues à valeurs dans les variétés à courbure négative

Author: François Labourie
Journal: Proc. Amer. Math. Soc. 111 (1991), 877-882
MSC: Primary 58E20; Secondary 58G11
MathSciNet review: 1049845
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We generalize a theorem of Corlette on existence of twisted harmonic maps into a manifold of non-positive curvature.

References [Enhancements On Off] (What's this?)

  • [BGS] W. Ballman, M. Gromov, and V. Schroeder, Manifolds of non-positive curvature, Progress in Math., vol. 61, Birkhaüser, Boston, 1985. MR 823981 (87h:53050)
  • [C] K. Corlette, Flat $ G$-bundles with canonical metrics, J. Differential Geom. 28 (1988), 361-382. MR 965220 (89k:58066)
  • [D] S. K. Donaldson, Twisted harmonic maps and the self-duality equations, Proc. London Math. Soc. 55 (1987), 127-131. MR 887285 (88g:58040)
  • [EO] P. Eberlein and B. O'Neill, Visibility manifolds, Pacific J. Math. 46 (1976), 43-110. MR 0336648 (49:1421)
  • [ES] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 0164306 (29:1603)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58E20, 58G11

Retrieve articles in all journals with MSC: 58E20, 58G11

Additional Information

Article copyright: © Copyright 1991 American Mathematical Society

American Mathematical Society