Contravariant Curvatures of Doubly Warped Product Poisson Manifolds

被引：2

作者：

Aloui, Foued ^{[1
]}

Hui, Shyamal Kumar ^{[2
]}

Al-Dayel, Ibrahim ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia

[2] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

来源：

MATHEMATICS | 2024年 / 12卷 / 08期

关键词：

doubly warped product; Poisson geometry; sectional contravariant curvature; qualar; curvature; GEOMETRY;

D O I：

10.3390/math12081205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the sectional contravariant curvature of a doubly warped product manifold ( fBxbF,g,Pi=Pi B+Pi F) equipped with a product Poisson structure Pi, using warping functions and sectional curvatures of its factor manifolds (B,gB,Pi B) and (F,gF,Pi F). Qualar and null sectional contravariant curvatures of ( fBxbF,g,Pi) are also given. As an example, we construct a four-dimensional Lorentzian doubly warped product Poisson manifold where qualar and sectional curvatures are obtained.

引用

页数：20

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