Results 51 to 60 of about 3,845 (153)
Two theorems on (ϵ)-Sasakian manifolds
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.
Xu Xufeng, Chao Xiaoli
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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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Spectral geometry of $eta$-Einstein Sasakian manifolds
, 2012 We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined.
Blair +21 more
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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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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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3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem
, 2007 We present a compared analysis of some properties of 3-Sasakian and 3-cosymplectic manifolds. We construct a canonical connection on an almost 3-contact metric manifold which generalises the Tanaka-Webster connection of a contact metric manifold and we ...
De Nicola, Antonio +1 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
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Nearly Sasakian manifolds revisited [PDF]
Complex Manifolds, 2019 AbstractWe provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly Sasakian.
Cappelletti-Montano, Beniamino +3 more
openaire +6 more sources
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
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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