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. Potential Theory on Polyhedra: 5. The Sobolev space W1,2(X). Weakly harmonic functions
6. Harnack inequality and Hölder continuity for weakly harmonic functions
7. Potential theory on Riemannian polyhedra
8. Examples of Riemannian polyhedra and related spaces
Part III. Maps between Polyhedra: 9. Energy of maps
10. Hölder continuity of energy minimizers
11. Existence of energy minimizers
12. Harmonic maps - totally geodesic maps
13. Harmonic morphisms
14. Appendix A. Energy according to Korevaar-Schoen
15. Appendix B. Minimizers with small energy decay
Bibliography
Special symbols
Index.
