Pinching theorems for C-totally real submanifolds of Sasakian space forms

DOI10.1007/BF01230616zbMath0654.53061OpenAlexW2006490397MaRDI QIDQ1108601

Leopold Verstraelen, Luc Vrancken

Publication date: 1988

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230616

zbMATH Keywords

scalar curvatureminimal submanifoldsectional curvaturesintegral formulasSasakian space formC-totally real submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (7)

Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature ⋮ Integral submanifolds of Sasakian space forms \(M^ 7(k)\) ⋮ On \(C\)-totally real submanifolds of \(\mathbb{S}^{2n+1}(1)\) with non-negative sectional curvature ⋮ Minimal Legendrian submanifolds in Sasakian space forms with \(C\)-parallel second fundamental form ⋮ Integral surfaces of Sasakian space forms ⋮ \(C\)-totally real submanifolds with constant sectional curvature in the Sasakian space forms ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

Cites Work

• Unnamed Item
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Minimal submanifolds in Sasakian space forms
• CR submanifolds of Kaehlerian and Sasakian manifolds
• Contact manifolds in Riemannian geometry
• On Totally Real 3-Dimensional Submanifolds of the Nearly Kaehler 6-Sphere

This page was built for publication: Pinching theorems for C-totally real submanifolds of Sasakian space forms