background
logo
ArxivPaperAI

On weak and strict relatives K\"ahler manifolds

Author:
Giovanni Placini
Keyword:
Mathematics, Differential Geometry, Differential Geometry (math.DG)
journal:
--
date:
2023-06-27 16:00:00
Abstract
We study K\"ahler manifolds that are (weak) relatives, that is, K\"ahler manifolds which share a (locally isometric) submanifold. In particular, we prove that if two K\"ahler manifolds are weak relatives and one of them is projective, then they are relatives. Moreover, we introduce the notion of strict relatives K\"ahler manifolds and provide several nontrivial examples.
PDF: On weak and strict relatives K\"ahler manifolds.pdf
Empowered by ChatGPT