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Geometry and Topology of Manifolds (eBook)

10th China-Japan Conference 2014

Akito Futaki, Reiko Miyaoka, Zizhou Tang, Weiping Zhang (Herausgeber)

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2016 | 1st ed. 2016
XII, 348 Seiten
Springer Tokyo (Verlag)
978-4-431-56021-0 (ISBN)

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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.

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.

Erscheint lt. Verlag	3.6.2016
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XII, 348 p. 14 illus., 10 illus. in color.
Verlagsort	Tokyo
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Technik
Schlagworte	53CXX • Kahler manifold • minimal submanifold • Partial differential equations • Riemannian manifold • Symplectic Manifold
ISBN-10	4-431-56021-1 / 4431560211
ISBN-13	978-4-431-56021-0 / 9784431560210

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