Some nonlinear problems in Riemannian geometry
著者
書誌事項
Some nonlinear problems in Riemannian geometry
（Springer monographs in mathematics）
Springer-Verlag, 1998
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注記
Includes bibliographical references (p. [365]-388) and index
内容説明・目次
内容説明
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.
目次
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.
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