Results 41 to 50 of about 249 (140)
Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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Tohoku Mathematical Journal, 2008 Let \(\pi: M\to B\) be a Riemannian orbifold submersion with totally geodesic leaves such that for any \(V\in T_x F\) (\(F\) is the leaf) and any \(X,Y\in T_x M\) it holds that \(R(X,Y)V=\langle Y,V\rangle X-\langle X,V\rangle Y\) for each \(x\in M\). Then \(M\) is said to be \(n\)-Sasakian, where \(n=\dim F\). This is a generalization of the notion of
openaire +3 more sources
Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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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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Mathematics, 2023 The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar +3 more
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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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Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds
International Journal of Analysis and Applications, 2017 We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor.
C.S. Bagewadi, Gurupadavva Ingalahalli
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney +4 more
wiley +1 more source
Generalized Recurrent and $\psi$-Recurrent Curvature on Mixed 3-Sasakian Manifolds [PDF]
Mathematics Interdisciplinary ResearchConsidering the importance of mixed 3-Sasakian manifolds which admit Einstein metrics, we introduce generalized mixed 3-$ \psi $-recurrent manifolds on mixed 3-Sasakian structures.
Fatemeh Asali +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source