Anti-invariant submanifolds of a Sasakian space form

DOI10.2996/kmj/1138036014zbMath0432.53034OpenAlexW2087252917MaRDI QIDQ1138810

Ikuo Ishihara

Publication date: 1979

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036014

zbMATH Keywords

invariant submanifoldSasakian space formanti-invariant submanifoldcontact totally umbilicalpseudo-flatpseudo-parallel

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (13)

AXIOM OF Φ-HOLOMORPHIC (2r+1)-PLANES FOR GENERALIZED KENMOTSU MANIFOLDS ⋮ Anti-invariant submanifolds satisfying a certain condition on normal connection ⋮ Some optimal inequalities for anti-invariant submanifolds of the unit sphere ⋮ On the geometry of normal locally conformal almost cosymplectic manifolds ⋮ On the geometry of principal \(T^1\)-bundles over Hodge manifolds ⋮ Normal connection and submanifolds with parallel normal fields in a space of constant curvature ⋮ Unnamed Item ⋮ Submanifolds of Sasakian manifolds with certain parallel operators ⋮ Methods of generalized Hermitian geometry in the theory of almost-contact manifolds ⋮ Curvature identities for normal manifolds of Killing type ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Surfaces with parallel mean curvature in Sasakian space forms

Cites Work

• Anti-invariant submanifolds with flat normal connection
• Contact manifolds in Riemannian geometry
• Anti-invariant submanifolds of Sasakian space forms. I
• Contact totally umbilical submanifolds of a sasakian space form
• Submanifolds with parallel mean curvature vector
• On almost contact manifolds admitting axiom of planes or axiom of free mobility
• Unnamed Item
• Unnamed Item

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