Every totally umbilical proper slant submanifold of a Kähler manifold is totally geodesic

DOI10.1007/S00025-008-0324-2zbMath1178.53056OpenAlexW1976997771MaRDI QIDQ732759

Bayram Ṣahin

Publication date: 15 October 2009

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-008-0324-2

zbMATH Keywords

Kähler manifoldslant submanifold

Mathematics Subject Classification ID

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

Related Items (9)

Slant Lightlike Submanifolds of Indefinite Contact Manifolds ⋮ Unnamed Item ⋮ A classification of a totally umbilical slant submanifold of cosymplectic manifolds ⋮ Totally umbilical proper slant and hemislant submanifolds of an LP-cosymplectic manifold ⋮ Totally umbilical hemi-slant submanifolds of Kaehler manifolds ⋮ Improved Chen-Ricci inequality for curvature-like tensors and its applications ⋮ Pointwise slant lightlike submanifolds of indefinite Kaehler manifolds ⋮ Totally umbilical hemislant submanifolds of LP-Sasakian manifold ⋮ Totally Umbilical Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds

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