Results 21 to 30 of about 138 (133)

Recent Developments on the First Chen Inequality in Differential Geometry

open access: yesMathematics, 2023
One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
doaj   +1 more source

Paracomplex Paracontact Pseudo-Riemannian Submersions [PDF]

open access: yesGeometry, 2014
We introduce the notion of paracomplex paracontact pseudo-Riemannian submersions from almost para-Hermitian manifolds onto almost paracontact metric manifolds. We discuss the transference of structures on total manifolds and base manifolds and provide some examples.
S. S. Shukla, Uma Shankar Verma
openaire   +2 more sources

On the projections of Laplacians under Riemannian submersions

open access: yesInternational 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

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

Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds

open access: yesJournal of Function Spaces and Applications, 2013
We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
doaj   +1 more source

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

open access: yesMathematica 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

Generic riemannian submersions

open access: yesTamkang Journal of Mathematics, 2013
B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generalization of anti-invariant Riemmanian submersions [11]. As a generalization to semi-invariant Riemannian submersions we introduce the notion of generic submersion from an almost Hermitian manifold onto a Riemannian manifold and investigate the geometry of foliations
Tanveer Fatima, Shahid Ali
openaire   +2 more sources

ON RIEMANNIAN SUBMERSIONS

open access: yesJP Journal of Geometry and Topology, 2019
Summary: Let \(M\) and \(N\) be compact oriented Riemannian manifolds. Let \(\varphi:(M,g)\to(N,h)\) be a horizontal conformal submersion with dilation \(\lambda\) and let \(\tau\) be the tension field of \(\Phi\). The aim of this paper is to prove the theorem stated in the Introduction.
openaire   +3 more sources

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

Semi-invariant semi-Riemannian submersions

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kahler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions.
AKYOL, Mehmet Akif, GÜNDÜZALP, Yılmaz
openaire   +2 more sources

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