内容

目次

Gromov's preface; Preface; 1. Introduction; Part I. Domains, Targets,Examples: 2. Harmonic spaces, Dirichlet spaces and geodesic spaces; 3.Examples of domains and targets; 4. Riemannian polyhedra; Part II. PotentialTheory on Polyhedra: 5. The Sobolev space W1,2(X). Weakly harmonic functions;7. Potential theory on Riemannian polyhedra; 8. Examples of Riemannianpolyhedra and related spaces; Part III. Maps between Polyhedra: 9. Energy ofmaps; 10. Holder continuity of energy minimizers; 11. Existence of energyminimizers; 12. Harmonic maps - totally geodesic maps; 13. Harmonicmorphisms; 14. Appendix A. Energy according to Korevaar-Schoen; 15. AppendixB. Minimizers with small energy decay; Bibliography; Special symbols; Index.