Results 31 to 40 of about 47,101 (158)

Certain curves along Riemannian submersions

open access: yesFilomat, 2023
In this paper, when a given curve on the total manifold of a Riemannian submersion is transferred to the base manifold, the character of the corresponding curve is examined. First, the case of a Frenet curve on the total manifold being a Frenet curve on the base manifold along a Riemannian submersion is investigated.
Tukel, Gozde Ozkan   +2 more
openaire   +4 more sources

Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]

open access: yes, 2010
This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular we derive a global result for special sub-Riemannian curves for which their Hamiltonian satisfies a particular condition ...
Biggs, James, Holderbaum, William
core   +4 more sources

Pointwise hemi-slant Riemannian submersions

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2023
UDC 517.98 We introduce a new type of submersions, which is called <em>pointwise hemi-slant Riemannian submersions,</em> as a generalization of slant Riemannian submersions, hemi-slant submersions, and pointwise slant submersions from Kaehler manifolds onto Riemannian manifolds.
Akyol, Mehmet Akif, Sayar, Cem
openaire   +2 more sources

Golden Riemannian submersions

open access: yesFilomat, 2023
In this paper, we study a Golden Riemannian submersion between Golden Riemannian manifolds. Here, we investigate the geometric properties of such a submersion and obtain some results. Also, we study the relations between the Ricci curvatures of any fibre, base and target manifolds of Golden Riemannian submersion and using these relations ...
openaire   +1 more source

Generic ??-Riemannian submersions

open access: yesHacettepe Journal of Mathematics and Statistics, 2022
As a generalization of semi-invariant xi(perpendicular to)-Riemannian submersions, we introduce the generic xi(perpendicular to)- Riemannian submersions. We focus on the generic xi(perpendicular to)-Riemannian submersions for the Sasakian manifolds with examples and investigate the geometry of foliations.
openaire   +4 more sources

Riemannian Maps From Almost Hermitian Manifolds

open access: yes, 2017
In this chapter, we study Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. In section 1, we study holomorphic Riemannian maps as a generalization of holomorphic submersions and obtain a characterization of such maps. In section 2,
Sahin, Bayram, Bayram Şahin
core   +1 more source

Willmore-Like Tori in Killing Submersions

open access: yesAdvances in Mathematical Physics, 2018
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a ...
Manuel Barros   +2 more
doaj   +1 more source

Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
doaj   +1 more source

P-38 On the Riemannian submersion invariant [PDF]

open access: yes, 2015
For a Riemannian submersion pi:Mn-\u3eBbwith totally geodesic fibers, the submersion invariant (see attached abstract for equation) was introduced using the integrability tensor of the submersion. B. Y.
Oh, Yun Myung
core  

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