Results 21 to 30 of about 115 (105)
Some Results on Lorentzian Para-Sasakian Manifolds [PDF]
ISRN Geometry, 2011 The object of the present paper is to study Lorentzian para-Sasakian (briefly LP-Sasakian) manifolds satisfying certain conditions on the W2-curvature tensor.
Venkatesha +2 more
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
Open Mathematics, 2023 The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin +4 more
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Indefinite Almost Paracontact Metric Manifolds
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi +3 more
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New characterization of b-m2 developable surfaces
Acta Scientiarum: Technology, 2015 In this paper, b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional Ricci symmetric para-Sasakian manifold P is studied.
Talat Körpınar
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A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold
Extracta MathematicaeThis article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
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Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]
Journal of HyperstructuresIn the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
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On a class of Lorentzian para-Sasakian manifold
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006 We classify Lorentzian para-Sasakian manifolds which satisfy P · C = 0, Z · C = LC Q(g, C), P · Z â Z · P = 0, and P · Z + Z · P = 0, where P is the vâWeyl projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.
Cengizhan Murathan +3 more
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The GJMS operators in geometry, analysis and physics
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley +1 more source
Curvature Properties of Quasi-Para-Sasakian Manifolds
International Electronic Journal of Geometry, 2019 The present paper is devoted to quasi-Para-Sasakian manifolds. Basic properties of such manifolds are obtained and general curvature identities are investigated. Next it is proved that if $M$ is quasi-Para-Sasakian manifold of constant curvature $K$. Then $K$ $\leq 0$ and $(i)~$if $K=0$, the manifold is paracosymplectic, $(ii)$ if $K<0$, the quasi ...
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