Results 11 to 20 of about 48 (46)

Geometric characteristics and properties of a two-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension [PDF]

, 2019
Almost contact B-metric manifolds of the lowest dimension 3 are constructed by a two-parametric family of Lie groups. Our purpose is to determine the class of considered manifolds in a classification of almost contact B-metric manifolds and their most ...
IVANOVA, Miroslava, DOSPATLIEV, Lilko
core   +1 more source

B.‐Y. Chen inequalities for semislant submanifolds in Sasakian space forms

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1731-1738, 2003., 2003
Chen (1993) established a sharp inequality for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature and squared mean curvature. The notion of a semislant submanifold of a Sasakian manifold was introduced by J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, and M. Fernandez (1999).
Dragoş Cioroboiu
wiley   +1 more source

A basic inequality for submanifolds in a cosymplectic space form

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 539-547, 2003., 2003
For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main extrinsic invariant, namely, squared mean curvature on the other side.
Jeong-Sik Kim, Jaedong Choi
wiley   +1 more source

*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds

Open Mathematics, 2019
Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
doaj   +1 more source

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
doaj   +1 more source

Integrability of Reeb Distribution Associated to a Generalized Engel Manifold

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we define a generalized Reeb distribution of an Engel 4n‐manifold and give a necessary and sufficient condition for integrability of this Reeb distribution which gives a generalization of some results of N. Pia about Reeb distributions of Engel 4‐manifolds.
Serigne Abdoul Aziz Dramé, Cheikh Khoule, Hamidou Dathe, Murat Altunbaş   +3 more
wiley   +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

Locally Conformal Almost Cosymplectic Manifolds Endowed with a Skew-Symmetric Killing Vector Field [PDF]

論文(Article)We study a locally conformal almost cosymplectic manifold M which carries a horizontal skew-symmetric Killing vector field X. Such X denes a relative conformal cosymplectic transformation of the conformal cosymplectic 2-form Ω of M and the ...
Mihai, Adela, Matsumoto, Koji, Naitza, Dorotea   +2 more
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The Fischer-Marsden conjecture on almost Kenmotsu manifolds

, 2020
The purpose of this paper is to investigate the Fischer-Marsden conjecture on almost Kenmotsu manifolds. First, we prove that if a three-dimensional non-Kenmotsu (k, μ)' -almost Kenmotsu manifold satisfies the Fischer-Marsden conjecture, then the ...
De, U.C., Mandal, Krishanu
core  

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