Results 41 to 50 of about 131 (102)

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

On Trans-Sasakian Manifolds

Kathmandu University Journal of Science, Engineering and Technology, 1970
In this paper we study the geometry of trans-Sasakian manifold when it is projective Ricci-semi-symmetric, pseudo-projectively flat and pseudo-projectively semi-symmetric.
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 Classes of Pseudosymmetric Contact Metric 3‐Manifolds

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
We study (a) the class of 3‐dimensional pseudosymmetric contact metric manifolds with harmonic curvature and Trl constant along the direction of ξ and (b) the class of (κ, μ, ν)‐contact metric pseudosymmetric 3‐manifolds of type constant in the direction of ξ.
Evaggelia Moutafi, T. Friedrich, O. Mokhov   +2 more
wiley   +1 more source

On the geometry of nearly trans-Sasakian manifolds

Turkish Journal of Mathematics, 2023
The geometry of nearly trans-Sasakian manifolds is researched in this paper. The complete group of structural equations and the components of the Lee vector on the space of the associated $G$-structure are obtained for such manifolds. Conditions are found under which a nearly trans-Sasakian structure is a trans-Sasakian, a cosymplectic, a closely ...
Rustanov, Aligadzhi R., Melekhina, Tatiana L., Kharitonova, Svetlana V.   +2 more
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On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
The object of the present paper is to characterize generalized Sasakian‐space‐forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, ξ‐conharmonically flat, and conharmonically recurrent generalized Sasakian‐space‐forms.
U. C. De, R. N. Singh, Shravan K. Pandey, G. Martin, M. Visinescu   +4 more
wiley   +1 more source

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

Journal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui, Akram Ali, Ali H. Alkhaldi   +2 more
doaj   +1 more source

Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]

Journal of Hyperstructures
Our focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds [PDF]

Results in Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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