Results 31 to 40 of about 6,795 (182)

Recent Developments on the First Chen Inequality in Differential Geometry

Mathematics, 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

Golden Riemannian submersions

Filomat, 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

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

A characterization of Dirac morphisms [PDF]

, 2008
Relating the Dirac operators on the total space and on the base manifold of a horizontally conformal submersion, we characterize Dirac morphisms, i.e.
A. Moroianu, B. Fuglede, C. Bär, C.G.J. Jacobi, D. Husemoller, E. Loubeau, H. Lawson, J.-M. Bismut, J.-P. Bourguignon, J.F. Glazebrook, P. Baird, R. Slobodeanu, T. Ishihara   +12 more
core   +1 more source

Generic riemannian submersions

Tamkang 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

JP 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

Biharmonic curves along Riemannian submersions

Miskolc Mathematical Notes
The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
doaj   +1 more source

On Lagrangian submersions

, 2014
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kaehlerian manifold is integrable.
Taştan, Hakan Mete
core   +1 more source

On semi-slant $\xi^\perp-$Riemannian submersions

, 2017
The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp ...
Akyol, Mehmet Akif, Sarı, Ramazan
core   +1 more source

Biminimal immersions

, 2007
We study biminimal immersions, that is immersions which are critical points of the bienergy for normal variations with fixed energy. We give a geometrical description of the Euler-Lagrange equation associated to biminimal immersions for: i) biminimal ...
Loubeau, E., Montaldo, S.
core   +2 more sources