Minimal Kähler submanifolds in product of space forms

DOI10.1515/forum-2022-0321zbMath1529.53058arXiv2108.03970OpenAlexW3191844441MaRDI QIDQ6085843

Alcides de Carvalho, Iury Domingos

Publication date: 8 November 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03970

zbMATH Keywords

isometric immersionsminimal immersionsKähler submanifoldspluriharmonic immersionsproducts of space forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• A Bonnet theorem for isometric immersions into products of space forms
• Isometric immersions into warped product spaces
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Rigidity of real Kaehler submanifolds
• Symmetric submanifolds of Euclidean space
• Isometric immersions of Kähler manifolds
• Associated families of the pluriharmonic maps and isotropy
• A fundamental theorem for submanifolds of multiproducts of real space forms
• A fundamental theorem for submanifolds in semi-Riemannian warped products
• Minimal immersions of Riemannian manifolds
• Pluriharmonic Maps and Minimal Immersions of Kähler Manifolds
• Submanifolds of products of space forms

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