Geometry and Topology of Manifolds
Geometry and Topology of Manifolds(Proceedings in Mathematics & Statistics) by Akito Futaki
English | 26 Jun. 2016 | ISBN: 443156019X | 350 Pages | PDF | 4.89 MB
English | 26 Jun. 2016 | ISBN: 443156019X | 350 Pages | PDF | 4.89 MB
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.