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Displaying 61 – 80 of 283

Foliations of lightlike hypersurfaces and their physical interpretation

Krishan Duggal (2012)

Open Mathematics

This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u. Although the family (H u) is not unique, we show, subject to some reasonable condition(s), that the involved induced objects are independent of the choice of (H u) once evaluated at u = constant. We use (n+1)-splitting Lorentzian manifold to obtain a normalization of ℓ and a well-defined...

Gauss-Codazzi tensor fields and the Bonnet immersion theorem.

Werner H. Greub (1977)

Collectanea Mathematica

General Affine Differential Geometry for Low Codimension Immersions.

Steven Wilkinson (1988)

Mathematische Zeitschrift

Geodesic CR-lightlike submanifolds.

Ṣahin, Bayram, Güneṣ, Rifat (2001)

Beiträge zur Algebra und Geometrie

Geodesics and circles on real hypersurfaces of type $A$ and $B$ in a complex space form.

Kim, Hyang Sook, Lee, Gil Sang, Pyo, Yong-Soo (1997)

Balkan Journal of Geometry and its Applications (BJGA)

Geometric properties of Lie hypersurfaces in a complex hyperbolic space

Young Ho Kim, Sadahiro Maeda, Hiromasa Tanabe (2019)

Czechoslovak Mathematical Journal

We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior of the characteristic vector field and their holomorphic distributions.

Géométrie différentielle affine des hypersurfaces

E. Calabi (1980/1981)

Séminaire Bourbaki

Geometry of holomorphic distributions of real hypersurfaces in a complex projective space

U-Hang Ki, Makoto Kimura, Sadahiro Maeda (2001)

Czechoslovak Mathematical Journal

We characterize homogeneous real hypersurfaces $M$ ’s of type $(A_{1})$ , $(A_{2})$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^{0} M$ of $M$ .

Higher order Codazzi tensors on conformally flat spaces.

Liu, H.L., Simon, U., Wang, C.P. (1998)

Beiträge zur Algebra und Geometrie

Higher order contact of real curves in a real hyperquadric

Yuli Villarroel (1996)

Archivum Mathematicum

Higher order contact of real curves in a real hyperquadric. II

Yuli Villarroel (1998)

Archivum Mathematicum

Let $Φ$ be an Hermitian quadratic form, of maximal rank and index $(n, 1)$ , defined over a complex $(n + 1)$ vector space $V$ . Consider the real hyperquadric defined in the complex projective space $P^{n} V$ by $Q = {[ς] \in P^{n} V, Φ (ς) = 0} .$ Let $G$ be the subgroup of the special linear group which leaves $Q$ invariant and $D$ the $(2 n) -$ distribution defined by the Cauchy Riemann structure induced over $Q$ . We study the real regular curves of constant type in $Q$ , tangent to $D$ , finding a complete system of analytic invariants for two curves to be locally equivalent...

Holomorphic distribution of CR-submanifolds of a complex projective space.

Kon, S.H., Loo, Tee-How (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Hypersurfaces in 4-dimensional Euclidean space

Hideya Hashimoto (1990)

Czechoslovak Mathematical Journal

Hypersurfaces of Einstein manifolds

Norihito Koiso (1981)

Annales scientifiques de l'École Normale Supérieure

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.

Currently displaying 61 – 80 of 283

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Displaying 61 – 80 of 283

Foliations of lightlike hypersurfaces and their physical interpretation

Gauss-Codazzi tensor fields and the Bonnet immersion theorem.

General Affine Differential Geometry for Low Codimension Immersions.

Geodesic CR-lightlike submanifolds.

Geodesics and circles on real hypersurfaces of type $A$ and $B$ in a complex space form.

Geometric properties of Lie hypersurfaces in a complex hyperbolic space

Géométrie différentielle affine des hypersurfaces

Geometry of holomorphic distributions of real hypersurfaces in a complex projective space

Higher order Codazzi tensors on conformally flat spaces.

Higher order contact of real curves in a real hyperquadric

Higher order contact of real curves in a real hyperquadric. II

Holomorphic distribution of CR-submanifolds of a complex projective space.

Hypersurfaces in 4-dimensional Euclidean space

Hypersurfaces of Einstein manifolds

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.

Currently displaying 61 – 80 of 283