Results 61 to 70 of about 124 (116)

Nearly Sasakian manifolds revisited

Complex Manifolds, 2019
We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly Sasakian.
Cappelletti-Montano Beniamino, De Nicola Antonio, Dileo Giulia, Yudin Ivan   +3 more
doaj   +1 more source

D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]

Rev Mat Complut, 2023
Csikós B, Elnashar A, Horváth M.
europepmc   +1 more source

Cohomology and stability of generalized Sasakian space-forms

, 2012
In this paper we study the geometry of distributions of semi-slant submanifolds of (ab) trans-Sasakian manifolds, some problems concerning the stability of slant submanifolds of generalized Sasakian space-forms and we also investigate the first normal ...
Wan Saripah Wan Sulaiman
core  

Contact metric manifolds with large automorphism group and (κ, µ)-spaces

Complex Manifolds, 2019
We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
doaj   +1 more source

Complete shrinking Riemann solitons [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper investigates the topological and geometric properties of complete shrinking Riemann solitons (Mm, g, µ, V), extending classical results from Ricci solitons to the more general Riemann soliton setting.Design/methodology/approachWe employ
Mehdi Jafari, Shahroud Azami
doaj   +1 more source

Riemannian invariants for warped product submanifolds in Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications

Open Mathematics
This article investigates the geometric and topologic of warped product submanifolds in Riemannian warped product Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}}.
Li Yanlin, Alshehri Norah, Ali Akram
doaj   +1 more source

The generalized warped product and the biharmonic maps [PDF]

Arab Journal of Mathematical Sciences
PurposeIn the first, we consider a smooth map and we calculate the bitension field of the map as a consequence, we treat the biharmonicity of the second projection.
Abderrazak Halimi, Seddik Ouakkas
doaj   +1 more source

Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds

, 2019
In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the ...
Uddin, Siraj, Naghi, Monia Fouad, Al-Solamy, Falleh Rijaullah   +2 more
core  

On 3-Dimensional Lorentzian β-Kenmotsu Manifolds

, 2009
In this paper, we study Lorentzian β-Kenmotsu manifold satisfying the condition R(X, Y ) · S = 0, where R(X, Y ) is considered as a derivation of the tensor algebra at each point of the manifold of tangent vectors X, Y and S is the Ricci tensor, 3 ...

core  

An Inequality on Quaternionic CR-Submanifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
doaj   +1 more source