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Geometry and topology of manifolds [electronic resource] : 10th China-Japan Conference held in Shanghai, China, September 2014 / Akito Futaki, Reiko Miyaoka, Zizhou Tang, Weiping Zhang, editors.

9784431560210 (electronic book)
4431560211 (electronic book)
9784431560197

Japan : Springer, 2016.

English

1 online resource (xii, 348 pages) : illustrations.

QA440

516

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré 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 Kähler 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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed June 13, 2016).

Springer proceedings in mathematics & statistics ; v. 154.

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