Results 11 to 20 of about 172 (147)

On conformally doubly warped product Finsler manifold [PDF]

open access: yesJournal of the Egyptian Mathematical Society, 2019
AbstractThe aim of the present paper is to introduce the notion of conformally doubly warped product Finsler manifold (CDWPF). For such a Finsler manifold, the coefficients of Barthel connection and its curvature tensor are investigated. The coefficients of Cartan, Berwald, Hashiguchi and Chern (Rund) connections of CDWPF are calculated.
Soleiman, A., Abdelsalam, A. M.
exaly   +2 more sources

Doubly warped products

open access: yesDifferential Geometry and Its Applications, 2001
The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
exaly   +2 more sources

Einstein Doubly Warped Product Poisson Manifolds

open access: yesSymmetry
In this paper, we study Einstein doubly warped product Poisson manifolds. First, we provide necessary and sufficient conditions for a doubly warped product manifold (M=Bf×bF,g,Π), equipped with a Poisson structure Π to be a contravariant Einstein manifold.
Ibrahim Al-Dayel, Foued Aloui
exaly   +2 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   +1 more source

On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC

open access: yesAxioms
This paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds.
Md Aquib   +3 more
doaj   +2 more sources

On doubly warped products

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
Aydın, Sibel Gerdan   +1 more
openaire   +5 more sources

A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

open access: yesAdvances in Mathematical Physics, 2021
In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture

open access: yesJournal of Mathematics, 2022
Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
doaj   +1 more source

Gray’s decomposition on doubly warped product manifolds and applications

open access: yesFilomat, 2020
A. Gray presented an interesting O(n) invariant decomposition of the covariant derivative of the Ricci tensor. Manifolds whose Ricci tensor satisfies the defining property of each orthogonal class are called Einstein-like manifolds. In the present paper, we answered the following question: Under what condition(s), does a factor manifold Mi ...
El-Sayied, Hoda   +3 more
openaire   +4 more sources

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