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Poisson Doubly Warped Product Manifolds

open access: yesMathematics, 2023
This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel   +2 more
doaj   +4 more sources

Conformal Vector Fields on Doubly Warped Product Manifolds and Applications [PDF]

open access: yesAdvances in Mathematical Physics, 2016
This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds.
H. K. El-Sayied   +2 more
doaj   +6 more sources

Investigating slant curves within Lorentzian doubly warped product manifolds. [PDF]

open access: yesPLoS ONE
This study investigates the application of Robertson-Walker space in the analysis of slant curves. The study classifies all slant curves and calculates their curvature and torsion.
Ayman Elsharkawy   +3 more
doaj   +4 more sources

Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

open access: yesUniverse, 2023
This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy   +3 more
doaj   +4 more sources

DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2014
Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms.
Andreea Olteanu
doaj   +3 more sources

Contravariant Curvatures of Doubly Warped Product Poisson Manifolds

open access: yesMathematics
In this paper, we investigate the sectional contravariant curvature of a doubly warped product manifold ( fB×bF,g˜,Π=ΠB+ΠF) equipped with a product Poisson structure Π, using warping functions and sectional curvatures of its factor manifolds (B,g˜B,ΠB ...
Foued Aloui   +2 more
doaj   +4 more sources

Killing and 2-Killing Vector Fields on Doubly Warped Products

open access: yesMathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +3 more sources

Gradient Solitons on Doubly Warped Product Manifolds

open access: yesReports on Mathematical Physics, 2022
Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons on them such as Riemann, Ricci, Yamabe and conformal and examine the effect of a gradient soliton on a doubly warped product to its factor manifolds.
Blaga, Adara m., Tastan, Hakan m.
openaire   +6 more sources

Stability of doubly warped product spacetimes [PDF]

open access: yes, 2009
Nonlinear stability for a class of doubly warped spacetimes is proved. The background spacetimes have negative Einstein factors. It shown that for dimension D≥11 there is a full parameter family of solutions to the vacuum Einstein equations which has ...
Andersson, L.
core   +3 more sources

Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds

open access: yesAdvances in Mathematical Physics, 2022
Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni   +3 more
doaj   +2 more sources

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