Null Sasaki eta-Einstein Structures in Five Manifolds
Differential Geometry
2024-03-04 v1 Algebraic Geometry
Abstract
We study null Sasakian structures in dimension five. First, based on a result due to Koll\'ar [Ko], we improve a result by Boyer, Galicki and Matzeu in [BGM] and prove that simply connected manifolds diffeomorphic to # k(S^2\times S^3) admit null Sasaki -Einstein structures if and only if . After this, we determine the moduli space of simply connected null Sasaki -Einstein structures. This is accomplished using information on the moduli of lattice polarized K3 surfaces.
Cite
@article{arxiv.0909.4581,
title = {Null Sasaki eta-Einstein Structures in Five Manifolds},
author = {Jaime Cuadros},
journal= {arXiv preprint arXiv:0909.4581},
year = {2024}
}