Results 81 to 90 of about 1,171 (162)

Lightlike Submanifolds of Indefinite Sasakian Manifolds [PDF]

International Journal of Mathematics and Mathematical Sciences, 2007
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include ...
K. L. Duggal, B. Sahin
openaire   +2 more sources

On the existence of critical compatible metrics on contact 3‐manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 79-95, January 2025.
Abstract We disprove the generalized Chern–Hamilton conjecture on the existence of critical compatible metrics on contact 3‐manifolds. More precisely, we show that a contact 3‐manifold (M,α)$(M,\alpha)$ admits a critical compatible metric for the Chern–Hamilton energy functional if and only if it is Sasakian or its associated Reeb flow is C∞$C^\infty ...
Y. Mitsumatsu, D. Peralta‐Salas, R. Slobodeanu   +2 more
wiley   +1 more source

ON (?)-para sasakian 3-manifolds [PDF]

, 2012
In this paper we study the 3-dimensional (?)-para Sasakian manifolds. We obtain a necessary and sufficient condition for an (?)-para Sasakian 3- manifold to be an indefinite space form.
Kel?s S., Kili?c E., Tripathi M.M., Perkta?s S.Y.   +3 more
core  

On pseudo-slant submanifolds of trans-Sasakian manifolds; pp. 1–11 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
The object of the present paper is to study pseudo-slant submanifolds of trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out.
Uday Chand De, Avijit Sarkar
doaj   +1 more source

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla, Arpan Hazra   +4 more
wiley   +1 more source

CURVATURE PROPERTIES OF 3-QUASI-SASAKIAN MANIFOLDS [PDF]

, 2013
We find some curvature properties of 3-quasi-Sasakian manifolds which extend certain well-known identities holding in the Sasakian case. As an application, we prove that any 3-quasi-Sasakian manifold of constant horizontal sectional curvature is ...
DE NICOLA, Antonio, Cappelletti Montano B, Yudin I., Yudin, Ivan, Cappelletti Montano, Beniamino   +4 more
core   +3 more sources

Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
wiley   +1 more source

$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection

Ratio Mathematica
The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions.
Abhishek Singh, Sangeeta Gautam, Lalit Kumar   +2 more
doaj   +1 more source

On a property of W4 -manifolds

Дифференциальная геометрия многообразий фигур, 2020
The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj   +1 more source

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