Isotropic totally real submanifolds

DOI10.1007/BF01160209zbMath0677.53064OpenAlexW1991642501WikidataQ125360418 ScholiaQ125360418MaRDI QIDQ1123422

Francisco Urbano, Sebastían Montiel

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173950

zbMATH Keywords

second fundamental formminimal submanifoldtotally geodesic submanifoldtotally real isotropic submanifolds

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (13)

On product affine hyperspheres in \(\mathbb{R}^{n+1}\) ⋮ Minimal Legendrian submanifolds of $\mathbb S^{9}$ with nonnegative sectional curvature ⋮ An optimal inequality related to characterizations of the contact Whitney spheres in Sasakian space forms ⋮ Isotropic affine spheres ⋮ Minimal Lagrangian isotropic immersions in indefinite complex space forms ⋮ Classification of locally strongly convex isotropic centroaffine hypersurfaces ⋮ Isotropic Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb S^3\times\mathbb S^3\) ⋮ An optimal inequality on locally strongly convex centroaffine hypersurfaces ⋮ New characterizations of the Clifford torus as a Lagrangian self-shrinker ⋮ A basic inequality and new characterization of Whitney spheres in a complex space form ⋮ Pseudo-parallel Lagrangian submanifolds in complex space forms ⋮ Classification of isotropic Calabi hypersurfaces ⋮ On the isolation phenomena of Einstein manifolds—submanifolds versions

Cites Work

• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Planar geodesic immersions
• Isotropic and Kähler Immersions

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