Results 51 to 60 of about 884 (174)
Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
PurposeThe 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
doaj +1 more source
The GJMS operators in geometry, analysis and physics
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
Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
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
wiley +1 more source
Approximation of regular Sasakian manifolds
arXiv admin note: substantial text overlap with arXiv:2305.05509, arXiv:2210 ...
openaire +4 more sources
On non-invariant hypersurfaces of a nearly hyperbolic Sasakian manifold
We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure.
Mobin Ahmad +2 more
core +1 more source
Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds
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
doaj +2 more sources
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
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
Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor
This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi +3 more
wiley +1 more source
Reduction of Sasakian manifolds [PDF]
We show that the contact reduction can be specialized to Sasakian manifolds. We prove that the Sasakian reduction is compatible with the Kähler reduction both in the cone construction and in the Boothby–Wang fibration. In particular, applying Futaki’s results, we obtain a sufficient condition for the reduced space of a regular Sasakian–Einstein ...
Grantcharov, Gueo, Ornea, Liviu
openaire +2 more sources

