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Ideal CR submanifolds in non-flat complex space forms

Toru Sasahara (2014)

Czechoslovak Mathematical Journal

An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.

Ideal tubular hypersurfaces in real space forms

Johan Fastenakels (2006)

Archivum Mathematicum

In this article we give a classification of tubular hypersurfaces in real space forms which are $δ (2, 2, ..., 2)$ -ideal.

Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.

Displaying 1 – 13 of 13

Ideal CR submanifolds in non-flat complex space forms

Ideal tubular hypersurfaces in real space forms

Immersed Hypersurfaces with Constant Weingarten Curvature.

Induced And Intinsic Curvature Tensors Of A Subspace In The Finsler Space

Induced and intrinsic curvature tensors of a subspace in the Finsler space.

Infinitesimal isometric variation of semi-Riemannian submanifolds.

Integrability Conditions Of Derivational Formulas Of A Subspace Of A Generalized Riemannian Space

Invariant Submanifolds in Sasakian Manifolds.

Invariant submanifolds of codimension 2 of almost contact manifolds

Invariant submanifolds of Sasakian manifolds.

Isometric immersions and the generalized Laplace and elliptic sinh-Gordon equations.

Isoparametric and Dupin hypersurfaces.

Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures

Currently displaying 1 – 13 of 13