Moduli spaces of isometric pluriharmonic immersions of Kähler manifolds into indefinite Euclidean spaces

Hitoshi Furuhata

Vol. 176 (1996), No. 1, 1–14

DOI: 10.2140/pjm.1996.176.1

Abstract

We classify isometric pluriharmonic immersions of a Kähler manifold into an indefinite Euclidean space. The moduli space of such immersions is explicitly constructed in terms of complex matrices. Some examples of these immersions are also given.

Mathematical Subject Classification 2000

Primary: 53C42

Secondary: 53C55

Milestones

Received: 26 August 1994

Revised: 5 October 1995

Published: 1 November 1996