Results 31 to 40 of about 3,015 (140)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel +3 more
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G2${\mathrm{G}}_2$‐instantons on the 7‐sphere
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3711-3745, December 2022., 2022 Abstract We study the deformation theory of G2${\mathrm{G}}_2$‐instantons on the round 7‐sphere, specifically those obtained from instantons on the 4‐sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15‐dimensional family of G2${\mathrm{G}}_2$‐instantons.
Alex Waldron
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Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
, 2022 summary:The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi $
Karmakar, Payel
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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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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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Conformal Ricci soliton in para-Sasakian manifolds
Novi Sad Journal of Mathematics, 2021 Summary: The object of the present paper is to study \(M\)-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied \(M\)-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton.
Kishor, Shyam, Verma, Pushpendra
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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
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Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
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