Geometry and Topology of Manifolds

Geometry and Topology of Manifolds
Springer | Mathematics | March 31 2016 | ISBN-10: 443156019X | 323 pages | pdf | 4.89 mb

Futaki, A., Miyaoka, R., Tang, Z., Zhang, W. (Eds.)
Shows recent development in geometry and topology
Gives access to sophisticated techniques in geometric analysis
Leads to future directions of research in geometry and topology

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.

Number of Illustrations and Tables
4 b/w illustrations, 10 illustrations in colour
Differential Geometry
Manifolds and Cell Complexes (incl. Diff. Topology)
Partial Differential Equations

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