Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Connections in sub-Riemannian geometry of parallelizable distributions
View through CrossRef
The notion of a parallelizable distribution has been introduced and investigated. A non-integrable parallelizable distribution carries a natural sub-Riemannian structure. The geometry of this structure has been studied from the bi-viewpoint of absolute parallelism geometry and sub-Riemannian geometry. Two remarkable linear connections have been constructed on a sub-Riemannian parallelizable distribution, namely, the Weitzenböck connection and the sub-Riemannian connection. The obtained results have been applied to two concrete examples: the spheres [Formula: see text] and [Formula: see text].
World Scientific Pub Co Pte Lt
Title: Connections in sub-Riemannian geometry of parallelizable distributions
Description:
The notion of a parallelizable distribution has been introduced and investigated.
A non-integrable parallelizable distribution carries a natural sub-Riemannian structure.
The geometry of this structure has been studied from the bi-viewpoint of absolute parallelism geometry and sub-Riemannian geometry.
Two remarkable linear connections have been constructed on a sub-Riemannian parallelizable distribution, namely, the Weitzenböck connection and the sub-Riemannian connection.
The obtained results have been applied to two concrete examples: the spheres [Formula: see text] and [Formula: see text].
Related Results
Triharmonic curves along Riemannian submersions
Triharmonic curves along Riemannian submersions
The purpose of this paper is to study triharmonic curves along Riemannian submersions from Riemannian manifolds onto Riemannian manifolds. We obtain necessary and sufficient condit...
Conformal Hemi-Slant Riemannian Maps
Conformal Hemi-Slant Riemannian Maps
In this study, we define conformal hemi-slant Riemannian maps from an almost Hermitian manifold to a Riemannian manifold as a generalization of conformal anti-invariant Riemannian ...
On the Approaches to the "Neorimanian Theory": David Lewin’s Transformational Approach
On the Approaches to the "Neorimanian Theory": David Lewin’s Transformational Approach
Today, Ukrainian musicology is opening up to the world, testifying to its bright potential, prospects and opportunities for cooperation with the international scientific environmen...
Influences on flood frequency distributions in Irish river catchments
Influences on flood frequency distributions in Irish river catchments
Abstract. This study explores influences which result in shifts of flood frequency distributions in Irish rivers. Generalised Extreme Value (GEV) type I distributions are recommend...
On CSI-ξ^˔-Riemannian submersions from Sasakian manifold
On CSI-ξ^˔-Riemannian submersions from Sasakian manifold
In the present paper, we study the Clairaut semi-invariant \xi-Riemannian submersions (CSI- \xi-Riemannian submersions, in short) from Sasakian manifolds onto Riemannian manifolds....
EXTERIOR DIFFERENTIAL FORMS ON RIEMANNIAN SYMMETRIC SPACES
EXTERIOR DIFFERENTIAL FORMS ON RIEMANNIAN SYMMETRIC SPACES
In the present paper we give a rough classification of exterior differential forms on a Riemannian manifold. We define conformal Killing, closed conformal Killing, coclosed conform...
On concurrent vector fields on Riemannian manifolds
On concurrent vector fields on Riemannian manifolds
<abstract><p>It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspect...
Conformal Quasi-Hemi-Slant Riemannian Maps
Conformal Quasi-Hemi-Slant Riemannian Maps
In this paper, we state some geometric properties of conformal quasi-hemi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give necessary and suffi...