Self-dual almost-K\"ahler four manifolds
Differential Geometry
2023-11-30 v1
Abstract
We classify compact self-dual almost-K\"ahler four manifolds of positive type and zero type. In particular, using LeBrun's result, we show that any self-dual almost-K\"ahler metric on a manifold which is diffeomorphic to is the Fubini-Study metric up to rescaling. In case of negative type, we classify compact self-dual almost-K\"ahler four manifolds with -invariant Ricci tensor.
Keywords
Cite
@article{arxiv.2311.17672,
title = {Self-dual almost-K\"ahler four manifolds},
author = {Inyoung Kim},
journal= {arXiv preprint arXiv:2311.17672},
year = {2023}
}