References
[A1]Al'ber, S. I.,On n-dimensional problems in the calculus of variations in the large, Sov. Math. Dokl.5 (1964), 700–804.
[A2]Al'ber, S. I.,Spaces of mappings into a manifold with negative curvature, Sov. Math. Dokl.9 (1967), 6–9.
[At]Attouch, H.,Variational convergence for functions and operators, Pitman, 1984.
[C1]Corlette, K.,Flat G-Bundles with canonical metrics, J. Diff. Geom.28 (1988), 361–382.
[C2]Corlette, K.,Archimedean superrigidity and hyperbolic geometry, Ann. Math.135 (1992), 165–182.
[D]Donaldson, S.,Twisted harmonic maps and the self-duality equations, Proc. London Math. Soc.55 (1987), 127–131.
[dM]dal Maso, G.,An introduction to Γ-convergence, Birkhäuser, 1993.
[DO]Diederich, K. andOhsawa, T.,Harmonic mappings and disk bundles over compact Kähler manifolds, Publ. Res. Inst. Math. Sci.21 (1985), 819–833.
[ES]Eells, J. andSampson, J.,Harmonic mappings of Riemannian manifolds, Am. J. Math.85 (1964), 109–160.
[GS]Gromov, M. andSchoen, R.,Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one, Publ. Math. IHES76 (1992), 165–246.
[H]Hartman, P.,On homotopic harmonic maps, Can. J. Math.19 (1967), 673–687.
[J]Jost, J.,Equilibrium maps between metric spaces, Calc. Var.2 (1994), 173–204.
[JY1]Jost, J. andYau, S. T.,The strong rigidity of locally symmetric complex manifolds of rank one and finite volume, Math. Ann.271 (1985), 143–152.
[JY2]Jost, J. andYau, S. T.,On the rigidity of certain discrete groups and algebraic varieties, Math. Ann.278, (1987) 481–496.
[JY3]Jost, J. andYau, S. T.,Harmonic maps and group representations, in: B. Lawson and K. Tenenblat (eds.),Differential Geometry and Minimal Submanifolds, Longman Scientific, 1991, pp. 241–260.
[JY4]Jost, J. andYau, S. T.,Harmonic maps and superrigidity, Proc. Sym. Pure Math.54, Part I (1993), 245–280.
[JZ1]Jost, J. andZuo, K., Harmonic maps andSl(r,ℂ)-representations ofπ 1 of quasi projective manifolds, J. Alg. Geom., to appear.
[JZ2]Jost, J. andZuo, K., Harmonic maps into Tits buildings and factorization of non rigid and non arithmetic representations ofπ 1 of algebraic varieties.
[KS]Korevaar, N. andSchoen, R.,Sobolev spaces and harmonic maps for metric space targets, Comm. Anal. Geom.1 (1993), 561–569.
[K]Kourouma, M.,Harmonic sections of Riemannian fiber bundles.
[La]Labourie, F.,Existence d'applications harmoniques tordues à valeurs dans les variétés à courbure négative, Proc. AMS111 (1991), 877–882.
[N]Nikolaev, I.,Synthetic methods in Riemannian geometry, Lecture Notes.
[Re]Reshetnyak, Y. G.,Nonexpanding maps in a space of curvature no greater than K, Siberian Math. Journ.9 (1968), 683–689.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jost, J. Convex functionals and generalized harmonic maps into spaces of non positive curvature. Commentarii Mathematici Helvetici 70, 659–673 (1995). https://doi.org/10.1007/BF02566027
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02566027