Some nonlinear problems in Riemannian geometry
Author(s)
Bibliographic Information
Some nonlinear problems in Riemannian geometry
(Springer monographs in mathematics)
Springer-Verlag, 2010
Note
Includes bibliographical references (p. [365]-395) and index
Description and Table of Contents
Description
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. It explores important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved.
Table of Contents
1 Riemannian Geometry.- 2 Sobolev Spaces.- 3 Background Material.- 4 Complementary Material.- 5 The Yamabe Problem.- 6 Prescribed Scalar Curvature.- 7 Einstein-Kahler Metrics.- 8 Monge-Ampere Equations.- 9 The Ricci Curvature.- 10 Harmonic Maps.- Bibliography*.- Notation.
by "Nielsen BookData"