Hyper-Lie Poisson structures
Hypersurfaces in 4-dimensional Euclidean space
Hypersurfaces of C2-like Finsler spaces.
Hypersurfaces of Einstein manifolds
Ideal CR submanifolds in non-flat complex space forms
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
In this article we give a classification of tubular hypersurfaces in real space forms which are -ideal.
Immersed Hypersurfaces with Constant Weingarten Curvature.
Indefinite affine hyperspheres admitting a pointwise symmetry. I.
Indefinite affine hyperspheres admitting a pointwise symmetry. II.
Indefinite Kähler Manifolds.
Induced And Intinsic Curvature Tensors Of A Subspace In The Finsler Space
Induced and intrinsic curvature tensors of a subspace in the Finsler space.
Induced Generalized Connections in Vector Subbundles
Infinitesimal aspects of the Laplace operator.
Infinitesimal automorphisms and deformations of parabolic geometries
We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de Rham sequence associated to a certain linear connection on the adjoint tractor bundle. For regular normal geometries, this description can be related to the underlying geometric structure using the machinery of BGG sequences. In the locally flat case, this leads to a deformation complex, which generalizes the well known complex for locally conformally...
Infinitesimal bending of a subspace of a space with non-symmetric basic tensor
In this work infinitesimal bending of a subspace of a generalized Riemannian space (with non-symmetric basic tensor) are studied. Based on non-symmetry of the connection, it is possible to define four kinds of covariant derivative of a tensor. We have obtained derivation formulas of the infinitesimal bending field and integrability conditions of these formulas (equations).
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Infinitesimal Deformations of Curvature Tensors at Non-symmetric Affine Connection Space
Infinitesimal isometric variation of semi-Riemannian submanifolds.
Information geometry of the power inverse Gaussian distribution.