Results 11 to 20 of about 140 (130)

Riemannian Submersions with Discrete Spectrum [PDF]

Journal 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, Montenegro, J. Fabio, Piccione, Paolo   +2 more
openaire   +3 more sources

Slant Riemannian submersions from Sasakian manifolds

Arab Journal of Mathematical Sciences, 2016
We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
doaj   +1 more source

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

ریاضی 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

Optimal Inequalities for Hemi-Slant Riemannian Submersions

Mathematics, 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, Ramazan Demir, Nergiz Önen Poyraz, Gabriel-Eduard Vîlcu   +3 more
doaj   +1 more source

η-Ricci–Yamabe Solitons along Riemannian Submersions

Axioms, 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, Fatemah Mofarreh, Mehmet Akif Akyol, Ali H. Hakami   +3 more
doaj   +1 more source

Clairaut slant submersion from almost Hermitian manifolds [PDF]

Mathematica 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, Prasad Rajendra, Kumar Singh Punit   +2 more
doaj   +1 more source

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

Mathematics, 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, Sergey Stepanov, Irina Tsyganok   +2 more
doaj   +1 more source

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

Axioms, 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, Ali Hussain Alkhaldi, Meraj Ali Khan, Aliya Naaz Siddiqui   +3 more
doaj   +1 more source

Isotropic Riemannian submersions

TURKISH JOURNAL OF MATHEMATICS, 2020
Summary: In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study \(\lambda\
Feyza Esra ERDOĞAN, Bayram ŞAHİN
openaire   +2 more sources

Conformal quasi-hemi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds [PDF]

Mathematica Bohemica
We introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example.
Fortuné Massamba, Pontsho Moile
doaj   +1 more source