On isometric immersions into complex space forms
Copyright policy )On isometric immersions into complex space forms
The main purpose of this paper is to study isometric immersions of connected Kähler manifolds into non-flat complex space forms. The question of when such an isometric immersion is holomorphic is an interesting problem. This question has been successfully studied in the more general setting of harmonic maps by several authors, where they require the manifolds to be compact. In our case, a positive result is obtained under local conditions only.
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Local submanifolds, Local differential geometry of Hermitian and Kählerian structures, sectional curvatures, non-flat complex space forms, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, holomorphy, Global differential geometry of Hermitian and Kählerian manifolds, Article, isometric immersions of connected Kähler manifolds, index of relative nullity, 510.mathematics, holomorphic immersion
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Local submanifolds, Local differential geometry of Hermitian and Kählerian structures, sectional curvatures, non-flat complex space forms, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, holomorphy, Global differential geometry of Hermitian and Kählerian manifolds, Article, isometric immersions of connected Kähler manifolds, index of relative nullity, 510.mathematics, holomorphic immersion
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