A small deformation and modifications of locally conformally balanced manifolds
Differential Geometry
2019-01-23 v1
Abstract
We will consider locally conformally balanced manifolds. We prove that a locally conformally balanced condition is not stable under a small deformation. We prove that locally conformally balanced condition is stable under any proper modification. We prove that symmetric products of the Kodaira surface can be resolve to locally conformally balanced manifolds by Hilbert-Chow map.
Keywords
Cite
@article{arxiv.1901.07258,
title = {A small deformation and modifications of locally conformally balanced manifolds},
author = {Hirokazu Shimobe},
journal= {arXiv preprint arXiv:1901.07258},
year = {2019}
}