TY - BOOK AU - Futaki,Akito AU - Miyaoka,Reiko AU - Tang,Zizhou AU - Zhang,Weiping ED - SpringerLink (Online service) TI - Geometry and Topology of Manifolds: 10th China-Japan Conference 2014 T2 - Springer Proceedings in Mathematics & Statistics, SN - 9784431560210 AV - QA641-670 U1 - 516.36 23 PY - 2016/// CY - Tokyo PB - Springer Japan, Imprint: Springer KW - Global differential geometry KW - Cell aggregation KW - Mathematics KW - Differential equations, partial KW - Differential Geometry KW - Manifolds and Cell Complexes (incl. Diff.Topology) KW - Partial Differential Equations N2 - 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 UR - https://doi.org/10.1007/978-4-431-56021-0 ER -