Some Nonlinear Problems in Riemannian Geometry

A very interesting area of nonlinear partial differential equations lies in the study of special equations arising in Geometry and Physics. This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods.

Inhalt
1 Riemannian Geometry.- 2 Sobolev Spaces.- 3 Background Material.- 4 Complementary Material.- 5 The Yamabe Problem.- 6 Prescribed Scalar Curvature.- 7 EinsteinKähler Metrics.- 8 MongeAmpère Equations.- 9 The Ricci Curvature.- 10 Harmonic Maps.- Bibliography*.- Notation.