Results 41 to 50 of about 1,107 (154)

On a Classification of Almost C(α)‐Manifolds

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, pseudosymmetric and Ricci pseudosymmetric almost C(α)‐manifold are studied. For an almost C(α)‐manifold, Riemann pseudosymmetric, Riemann Ricci pseudosymmetric, Ricci pseudosymmetric, projective pseudosymmetric, projective Ricci pseudosymmetric, concircular pseudosymmetric, and concircular Ricci pseudosymmetric cases are considered and ...
Tuğba Mert, Serkan Araci
wiley   +1 more source

Some submanifolds of generalized Kenmotsu manifolds

Gulf Journal of Mathematics, 2022
In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied and given some properties. An example is constructed for an invariant submanifold of a generalized Kenmotsu manifold. In addition, integrabilities of invariant distribution is investigated, and some theorems are given related to curvature tensor and the second ...
Vanli A.T., Sari R.
openaire   +2 more sources

ON KENMOTSU MANIFOLDS

Journal of the Korean Mathematical Society, 2005
Let \((M^n,\phi,\xi,\eta,g)\) be an \(n=2m+1\)-dimensional almost contact Riemannian manifold. If \((\nabla_X\phi)Y=-g(X,\phi Y)\xi-\eta(Y)\phi X\) and \(\nabla_X\xi=X-\eta(X)\xi\) then \((M^n,\phi,\xi,\eta,g)\) is called a Kenmotsu manifold. In the reviewed paper, the authors show that curvature conditions such as Ricci semisymmetry or Ricci ...
Jun, Jae-Bok, De, Uday Chand, Pathak, Goutam   +2 more
openaire   +3 more sources

∗‐Ricci Tensor on α‐Cosymplectic Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In this paper, we study α‐cosymplectic manifold M admitting ∗‐Ricci tensor. First, it is shown that a ∗‐Ricci semisymmetric manifold M is ∗‐Ricci flat and a ϕ‐conformally flat manifold M is an η‐Einstein manifold. Furthermore, the ∗‐Weyl curvature tensor W∗ on M has been considered.
M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki, Inan Unal, Meraj Ali Khan   +4 more
wiley   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

Open Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin, Dey Santu, Pahan Sampa, Ali Akram   +3 more
doaj   +1 more source

On Compact Trans‐Sasakian Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
We study 3‐dimensional compact and simply connected trans‐Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans‐Sasakian manifold to be homothetic to an Einstein ...
Ibrahim Al-Dayel, Sharief Deshmukh, P. Areias   +2 more
wiley   +1 more source

Almost Kenmotsu $f$-manifolds

Carpathian Mathematical Publications, 2015
In this paper, we consider a generalization of almost Kenmotsu f-manifolds. We get basic Riemannian curvature, sectional curvatures and scalar curvature properties such type manifolds. Finally, we give two examples to clarify some our results.
Balkan, Y. S., Aktan, N.
openaire   +3 more sources

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

Journal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
doaj   +1 more source

Parallel mean curvature surfaces in four-dimensional homogeneous spaces [PDF]

, 2017
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space forms, and product spaces.
Manzano, José M., Torralbo, Francisco, Van der Veken, Joeri   +2 more
core   +1 more source

Notes on Ricci solitons in $f$-cosymplectic manifolds [PDF]

, 2017
The purpose of this article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons.
Chen, Xiaomin
core   +3 more sources