Isometric immersions of locally conformally Kaehler manifolds

Abstract

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

20 pages. Revised version with main corrections to Prop. 3.4, Prop. 3.6 and Prop. 3.9 (and Th. 1.1 consequently)

References in corpus (4)

• LCK rank of locally conformally Kahler manifolds with potential
• Vaisman nilmanifolds
• Vanishing theorems for locally conformal hyperkaehler manifolds
• Kähler immersions of Kähler manifolds into complex space forms