Existence d’applications harmoniques tordues à valeurs dans les variétés à courbure négative
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- by François Labourie
- Proc. Amer. Math. Soc. 111 (1991), 877-882
- DOI: https://doi.org/10.1090/S0002-9939-1991-1049845-2
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Abstract:
We generalize a theorem of Corlette on existence of twisted harmonic maps into a manifold of non-positive curvature.References
- Werner Ballmann, Mikhael Gromov, and Viktor Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics, vol. 61, Birkhäuser Boston, Inc., Boston, MA, 1985. MR 823981, DOI 10.1007/978-1-4684-9159-3
- Kevin Corlette, Flat $G$-bundles with canonical metrics, J. Differential Geom. 28 (1988), no. 3, 361–382. MR 965220
- S. K. Donaldson, Twisted harmonic maps and the self-duality equations, Proc. London Math. Soc. (3) 55 (1987), no. 1, 127–131. MR 887285, DOI 10.1112/plms/s3-55.1.127
- P. Eberlein and B. O’Neill, Visibility manifolds, Pacific J. Math. 46 (1973), 45–109. MR 336648
- James Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160. MR 164306, DOI 10.2307/2373037
Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 877-882
- MSC: Primary 58E20; Secondary 58G11
- DOI: https://doi.org/10.1090/S0002-9939-1991-1049845-2
- MathSciNet review: 1049845