Codimension of immersions with parallel pluri-mean curvature

DOI10.1016/j.difgeo.2009.03.009zbMath1180.53061OpenAlexW2092062164WikidataQ115357273 ScholiaQ115357273MaRDI QIDQ1038512

Jost-Hinrich Eschenburg, Andreas Kollross, Renato Tribuzy

Publication date: 18 November 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.03.009

zbMATH Keywords

Kähler manifoldsymmetric spaceimmersionpluri-mean curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

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• On the transitivity of holonomy systems
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Symmetric submanifolds of Euclidean space
• Symmetric spaces and strongly isotropy irreducible spaces
• Kähler submanifolds with parallel pluri-mean curvature.
• On the type decomposition of the second fundamental form of a Kähler submanifold
• Isotropic ppmc immersions
• A geometric proof of the Berger holonomy theorem

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