Contravariant Curvatures of Doubly Warped Product Poisson Manifolds

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) and (F,g˜F,ΠF). Qualar and null sectional contr...

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Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 8; p. 1205
Main Authors Aloui, Foued, Hui, Shyamal Kumar, Al-Dayel, Ibrahim
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2024
Subjects
Analysis
Curvature
doubly warped product
Manifolds (Mathematics)
Poisson geometry
Poisson processes
qualar
sectional contravariant curvature
Theory of relativity
Saudi Arabia
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Summary: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) and (F,g˜F,ΠF). Qualar and null sectional contravariant curvatures of ( fB×bF,g˜,Π) are also given. As an example, we construct a four-dimensional Lorentzian doubly warped product Poisson manifold where qualar and sectional curvatures are obtained.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12081205