Extensions of extremal K\"ahler submanifolds of complex projective spaces
Differential Geometry
2023-06-29 v1
Abstract
In this paper we showed that every connected extremal K\"ahler submanifold of a complex projetive space has a natural extension which is a complete K\"ahler manifold and admits a holomorphic isometric immersion into the same ambient space. We also give an application to study extremal K\"ahler hypersurfaces of complex projective spaces.
Keywords
Cite
@article{arxiv.2306.16151,
title = {Extensions of extremal K\"ahler submanifolds of complex projective spaces},
author = {Chao Li},
journal= {arXiv preprint arXiv:2306.16151},
year = {2023}
}
Comments
19 pages