Results 11 to 20 of about 6,795 (182)

Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology [PDF]

open access: goldAxioms
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
doaj   +2 more sources

Bi-slant $\xi^{\perp}$-Riemannian submersions

open access: diamondHacettepe Journal of Mathematics and Statistics, 2021
We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp ...
Sezin Aykurt Sepet
openalex   +5 more sources

Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

open access: bronzeTURKISH JOURNAL OF MATHEMATICS, 2016
The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated.
Ayşe Beri   +2 more
openalex   +5 more sources

Slant Riemannian submersions from Sasakian manifolds

open access: yesArab 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   +5 more sources

Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds

open access: hybridFilomat, 2015
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic.
Cengizhan Murathan, Erken Küpeli
openalex   +4 more sources

Biharmonic Riemannian submersions [PDF]

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 2018
In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, we then use it to obtain biharmonic equations for Riemannian submersions with $1$-dimensional fibers and Riemannian submersions with basic mean curvature vector fields of fibers.
Akyol, Mehmet Akif, Ou, Ye-Lin
openaire   +4 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

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

open access: yesJournal of New Theory, 2021
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
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

Isotropic Riemannian submersions

open access: yesTURKISH 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   +3 more sources

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