Results 61 to 70 of about 4,004 (122)
Lightlike hypersurfaces of an (ε)-para Sasakian manifold with a semi-symmetric non-metric connection
, 2018 In the present paper, we study a lightlike hypersurface, when the ambient manifold is an (ε)-para Sasakian manifold endowed with a semi-symmetric non-metric connection. We obtain a condition for such a lightlike hypersurface to be totally geodesic.
F. Esra, Selcen Yüksel
semanticscholar +1 more source
Simply connected positive Sasakian 5‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate closed simply connected 5‐manifolds capable of hosting positive Sasakian structures. We present a conjectural comprehensive list of such manifolds.
Dasol Jeong, Jihun Park, Joonyeong Won
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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 +2 more
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On A Semi-symmetric Non-metric Connection In An Indefinite Para Sasakian Manifold
, 2014 The object of the present paper is to study a semi-symmetric non-metric connection in an indefinite para Sasakian manifold. In this paper, we obtain the relation between the semi-symmetric non-metric connection and Levi-Civita connection in an indefinite
S. Pandey +3 more
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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 +4 more
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Xi(Perpendicular To)-Submanifolds Of Para-Sasakian Manifolds
TURKISH JOURNAL OF MATHEMATICS, 2014 Almost semiinvariant xi(perpendicular to)-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant xi(perpendicular to)-submanifolds and semiinvariant xi(perpendicular to)-submanifolds are presented.
Yuksel Perktas, Selcen +3 more
openaire +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
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, 2013 We define a semi-symmetric non-metric connection in a Lorentzian paraSasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions
Mobin Ahmad +2 more
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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 +6 more
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The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
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