Results 11 to 20 of about 12,062 (222)

On conformal transformations of metrics of Riemannian paracomplex manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2021
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds.
S.E. Stepanov   +2 more
doaj   +1 more source

On the projections of Laplacians under Riemannian submersions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
doaj   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

open access: yesMathematics, 2020
A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh   +2 more
doaj   +1 more source

Contact-Complex Riemannian Submersions

open access: yesMathematics, 2021
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan   +2 more
doaj   +1 more source

Biharmonic curves along Riemannian submersions

open access: yesMiskolc Mathematical Notes
The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
doaj   +1 more source

A (CHR)3-flat trans-Sasakian manifold

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2019
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
doaj   +1 more source

Geometrical Analysis on Submanifolds in Riemannian Manifolds Attached with Silver Structure

open access: yesAxioms
In this paper, we analyze a silver Riemannian structure on a Riemannian manifold. We compute some fundamental properties of the induced structure on submanifolds immersed in a silver Riemannian manifold and also obtain some results for induced structures
Shadab Ahmad Khan   +4 more
doaj   +1 more source

On hypersurfaces in a locally affine Riemannian Banach manifold II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

Probability Distribution-Based Dimensionality Reduction on Riemannian Manifold of SPD Matrices

open access: yesIEEE Access, 2020
Representing images and videos with Symmetric Positive Definite (SPD) matrices and utilizing the intrinsic Riemannian geometry of the resulting manifold has proved successful in many computer vision tasks.
Jieyi Ren, Xiao-Jun Wu
doaj   +1 more source

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