Results 11 to 20 of about 2,985 (107)

Riemannian Submersions with Discrete Spectrum [PDF]

open access: yesJournal of Geometric Analysis, 2010
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers. When the fibers of the submersions are compact and minimal, we prove that the total space is discrete if and only if the base is discrete.
Bessa, G. Pacelli   +2 more
openaire   +4 more sources

Riemannian submersions for q-entropies [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2021
In an attempt to find the dynamical foundations for [Formula: see text]-entropies, we examine the special case of Lagrangian/Hamiltonian systems of many degrees of freedom whose statistical behavior is conjecturally described by the [Formula: see text]-entropic functionals. We follow the spirit of the canonical ensemble approach.
openaire   +2 more sources

A study of horizontally weakly conformal maps and their distributions [PDF]

open access: yesریاضی و جامعه, 2023
The aim of this paper is to consider horizontally weakly conformal maps which have been studied in [P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs.
Mehran Aminian
doaj   +1 more source

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   +3 more sources

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

Optimal Inequalities for Hemi-Slant Riemannian Submersions

open access: yesMathematics, 2022
In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol   +3 more
doaj   +1 more source

η-Ricci–Yamabe Solitons along Riemannian Submersions

open access: yesAxioms, 2023
In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field.
Mohd Danish Siddiqi   +3 more
doaj   +1 more source

The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions

open access: yesMathematics, 2019
In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski   +2 more
doaj   +1 more source

Clairaut slant submersion from almost Hermitian manifolds [PDF]

open access: yesMathematica Moravica
Our main aim is to introduce Clairaut slant submersions in complex geometry. We give the notion of Clairaut slant submersions from almost Hermitian manifolds onto Riemannian manifold in this article. We obtain some basic results on discussed submersions.
Kumar Sushil   +2 more
doaj   +1 more source

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

open access: yesAxioms, 2022
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi   +3 more
doaj   +1 more source

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