Work

On weak and strict relatives Kähler manifolds

Year: 2025

Type: article

Abstract: We study Kähler manifolds that are (weak) relatives, that is, Kähler manifolds which share a (locally isometric) submanifold. In particular, we prove that if two Kähler manifolds are weak relatives and one of them is projective, then they are relatives. Moreover, we introduce the notion of strict relatives Kähler manifolds and provide several nontrivial examples.

Source: Kyoto journal of mathematics

DOI: 10.1215/21562261-2024-0039

Author: G. Placini

Institution: University of Cagliari

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Fondazione di Sardegna, European Commission, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G2023431758, G3018935365