Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds

Xiaojun Huang and Yuan Yuan

Abstract: We study the global property of local holomorphic isometric mappings from a class of Kähler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.

Journal: Geom. Funct. Anal. 24 (2014), no. 3, 854–886

DOI: 10.1007/s00039-014-0278-3