A detailed description of the generalized Calabi type Kahler surfaces

Abstract

In this paper we study QCH Kähler surfaces, i.e. 4-dimensional Riemannian manifolds (of signature (++++)) admitting a Kähler complex structure with quasi-constant holomorphic sectional curvature. We give a detailed description of QCH Kähler surfaces of generalized Calabi type.

28 pages. arXiv admin note: text overlap with arXiv:1906.11640

References in corpus (7)

• Four--Dimensional Metrics Conformal to Kahler
• Semi-symmetric Kahler surfaces
• Kahler surfaces with quasi-constant holomorphic curvature
• Complex foliations and Kahler QCH surfaces
• Complex homothetic foliations on Kähler manifolds
• QCH Kahler surfaces II
• Generalized Calabi type Kahler surfaces