Isometric immersions of locally conformally Kaehler manifolds

TL;DR

This paper explores the conditions and properties of isometric immersions of locally conformally Kaehler manifolds into Hopf manifolds, focusing on metrics on compact complex surfaces.

Contribution

It provides new insights into the immersion of locally conformally Kaehler manifolds into Hopf manifolds, especially on compact complex surfaces.

Findings

Characterization of Hopf-induced metrics

Conditions for isometric immersions

Applications to compact complex surfaces

Abstract

We investigate isometric immersions of locally conformally Kaehler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces.