调和映射中的精选论题 Selected Topics in Harmonic Maps

Introduction Part I． Differential Geometric Aspects of Harmonic Maps 1．Operators on vector bundles 2．Harmonic maps 3．Some properties of harmonic maps 4．Second variation of the energy 5．Spheres and the behavior of the energy 6．The stress-energy tensor 7．Harmonic morphisms 8．Holomorphic and harmonic maps between almost Kader manifolds 9．Properties of harmonic maps between Kahler manifolds Part II． Problems Relating to Harmonic Maps 1．Existence of harmonic maps 2．Regularity problems 3．Holomorphic and conformal maps 4．Construction/classification of harmonic maps 5．Properties of harmonic maps 6．Spaces of maps 7．Noncompact domains 8．Variations on a theme Bibliography for Part I Supplementary bibliography for Part II