Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures

DOI10.2748/tmj/1178225591zbMath0829.53049OpenAlexW1964832101WikidataQ126198096 ScholiaQ126198096MaRDI QIDQ1897777

Luc Vrancken, Leopold Verstraelen, Frankie Dillen, Bang-Yen Chen

Publication date: 17 January 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225591

zbMATH Keywords

totally real submanifoldsrelative nullitynearly Kähler 6-sphere

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (13)

Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality ⋮ A Riemannian invariant and its applications to submanifold theory ⋮ 4-dimensional minimal CR submanifolds of the sphere \(S^{6}\) satisfying Chen's equality ⋮ Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality ⋮ Minimal surfaces in spheres and a Ricci-like condition ⋮ An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation ⋮ Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality ⋮ Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere ⋮ Geometric conditions on three-dimensional CR submanifolds in S ⁶ ⋮ The normal curvature of totally real submanifolds ofS⁶(1) ⋮ Three-dimensional minimal CR submanifolds in \(S^{6}\) satisfying Chen's equality ⋮ Killing vector fields and Lagrangian submanifolds of the nearly Kaehler \(S^6\) ⋮ Lagrangian warped product immersions in \(\mathbb{S}^6\)

Cites Work

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• Isometric immersions of warped products
• Equivariant Minimal Immersions of S 2 into S 2m (1)
• Totally Real Submanifolds in a 6-Sphere
• ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE
• On Totally Real Submanifolds
• An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation

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