Results 21 to 30 of about 88,622 (197)

Contact-Complex Riemannian Submersions

Mathematics, 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, Şemsi Eken Meriç, Erol Kılıç   +2 more
doaj   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

Mathematics, 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, Patrik Peska, Nasser Bin Turki   +2 more
doaj   +1 more source

On the projections of Laplacians under Riemannian submersions

International 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

Riemannian simplices and triangulations [PDF]

, 2014
We study a natural intrinsic definition of geometric simplices in Riemannian manifolds of arbitrary dimension $n$, and exploit these simplices to obtain criteria for triangulating compact Riemannian manifolds.
Dyer, Ramsay, Vegter, Gert, Wintraecken, Mathijs   +2 more
core   +5 more sources

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

IEEE 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

Geometric aspects of transversal Killing spinors on Riemannian flows [PDF]

, 2008
We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows $M$ carrying non-trivial solutions to that equation in case $M$ is a local Riemannian product, a Sasakian ...
Ginoux, Nicolas, Habib, Georges
core   +9 more sources

On hypersurfaces in a locally affine Riemannian Banach manifold

International Journal of Mathematics and Mathematical Sciences, 2002
We prove that an essential hypersurface of second order 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

On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
doaj   +1 more source

Biharmonic curves along Riemannian submersions

Miskolc 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

Pracì 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