Results 71 to 80 of about 1,722 (148)

CR‐Submanifolds of Generalized f.p.k.‐Space Forms

Geometry, Volume 2013, Issue 1, 2013., 2013
We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized f.p.k.‐space forms. Then we give an upper bound for foliate ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form and an upper bound for minimal ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form. Finally,
Mahmood Jaafari Matehkolaee, Michel Planat   +1 more
wiley   +1 more source

η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds

Cubo, 2020
In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
doaj   +1 more source

Certain Results on Ricci Solitons in Trans‐Sasakian Manifolds

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
We study and obtain results on Ricci solitons in trans‐Sasakian manifolds satisfying R(ξ,X)·C̃=0, P(ξ,X)·C̃=0, H(ξ, X) · S = 0, and C̃(ξ,X)·S=0, where C̃, P, and H are quasiconformal, projective, and conharmonic curvature tensors.
C. S. Bagewadi, Gurupadavva Ingalahalli, Andrea Pascucci   +2 more
wiley   +1 more source

A remark on trans-Sasakian 3-manifolds [PDF]

Revista de la Unión Matemática Argentina, 2019
Summary: Let \(M\) be a trans-Sasakian 3-manifold of type \((\alpha, \beta)\). In this paper, we give a negative answer to the question proposed by \textit{S. Deshmukh} [Mediterr. J. Math. 13, No. 5, 2951--2958 (2016; Zbl 1359.53022)], namely we prove that the differential equation \(\nabla \beta = \eta(\beta)\eta\) on \(M\) does not necessarily imply ...
Wang, Yaning, Wang, Wenjie
openaire   +2 more sources

Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source

Some characterizations of three-dimensional trans-Sasakian manifolds admitting η- Ricci solitons and trans-Sasakian manifolds as Kagan subprojective space

Ukrains’kyi Matematychnyi Zhurnal, 2020
UDC 514.7 The object of the present paper is to study three-dimensional trans-Sasakian manifolds admittingη-Ricci soliton. Actually, we study such manifolds whose Ricci tensor satisfy some special conditions like cyclic parallelity, Ricci semisymmetry,ϕ-Ricci semisymmetry, after reviewing the properties of second order parallel tensors on such ...
Sarkar, A., Sil, A., Paul, A. K.
openaire   +1 more source

Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)

Mathematics
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
doaj   +1 more source

Invariant Submanifolds of Generalized Sasakian-Space-Forms

, 2019
The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.Comment: 11 ...
Prakasha, D. G., Unal, Inan, Veeresha, P.   +2 more
core  

Ricci tensors on trans-Sasakian 3-manifolds

Filomat, 2018
In this paper, it is proved that a trans-Sasakian 3-manifold is locally symmetric if and only if it is locally isometric to the sphere space S3(c2), the hyperbolic space H3(-c2), the Euclidean space R3, the product space R x S2(c2) or R x H2(-c2), where c is a nonzero constant. Some examples are constructed to illustrate main results.
Wang, Wenjie, Liu, Ximin
openaire   +3 more sources

Some types of trans-Sasakian manifolds

Journal of the Tensor Society, 2009
In this paper pseudo projectively °at and conharmonically °at trans-Sasa- kian manifold satisfying R(X; Y ):S = 0 with vector » belonging to k-nullity distribution have been studied. Further we have studied Legendre curves in trans-Sasakian manifold.
openaire   +1 more source