書誌事項

Geometry and topology of manifolds : 10th China-Japan Geometry Conference held in Shanghai, China, September 2014

Akito Futaki...[et al.], editors

(Springer proceedings in mathematics & statistics, v. 154)

Springer, c2016

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注記

"This volume is the Proceedings of the 10th Geometry Conference for the Friendship of China and Japan."--Pref

Other editors: Reiko Miyaoka, Zizhou Tang, Weiping Zhang

Includes bibliographical references

内容説明・目次

内容説明

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger-Yau-Zaslow conjecture on mirror symmetry, the relative Yau-Tian-Donaldson conjecture in Kahler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.

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