| 書目名稱 | Nonlinear Analysis on Manifolds. Monge-Ampère Equations | | 編輯 | Thierry Aubin | | 視頻video | http://file.papertrans.cn/668/667334/667334.mp4 | | 叢書名稱 | Grundlehren der mathematischen Wissenschaften | | 圖書封面 |  | | 描述 | This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and more, analysis proves to be a very powerful means for solving geometrical problems. Conversely, geometry may help us to solve certain problems in analysis. There are several reasons why the topic is difficult and interesting. It is very large and almost unexplored. On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them. Each problem has its own particular difficulties. Nevertheless there exist some standard methods which are useful and which we must know to apply them. One should not forget that our problems are motivated by geometry, and that a geometrical argument may simplify the problem under investigation. Examples of this kind are still too rare. This work is neither a systematic study of a mathematical field nor the presentation of a lot of theoretical knowledge. On the | | 出版日期 | Book 1982 | | 關鍵詞 | Eigenvalue; Interpolation; Jacobi field; Riemannian geometry; Riemannian manifold; Tensor; curvature; diffe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-5734-9 | | isbn_softcover | 978-1-4612-5736-3 | | isbn_ebook | 978-1-4612-5734-9Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag New York Inc. 1982 |
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