Generalized Sasaki-Einstein metric twisted with Weil-Petersson metric
Abstract
Existence of canonical metric on a Sasakian variety was a long standing conjecture and the major part of this conjecture is about varieties which do not have definite basic first Chern class . Most of the Sasakian varieties do not have definite basic first Chern class. We give a program by using Fujino's Minimal Model program to find canonical metric on the canonical model of Sasakian varieties.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 14 August 2026
- Language
- EN
- Document type
- Preprint