Results 11 to 20 of about 133 (98)

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

Journal 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   +2 more sources

Gray’s decomposition on doubly warped product manifolds and applications [PDF]

Filomat, 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, Mantica, Carlo, Shenawy, Sameh, Syied, Noha   +3 more
openaire   +5 more sources

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

Axioms
This paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds.
Md Aquib, Vaishali Sah, Sarvesh Kumar Yadav, Jaya Upreti   +3 more
doaj   +2 more sources

F-Harmonic Maps between Doubly Warped Product Manifolds [PDF]

Mathematics, 2017
In this paper, some properties of F -harmonic and conformal F -harmonic maps between doubly warped product manifolds are studied and new examples of non-harmonic F -harmonic maps are constructed.
Morteza Mirmohammad Rezaii
exaly   +2 more sources

A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds [PDF]

Acta Mathematica Hungarica, 2007
5 Latex ...
Marian Ioan Munteanu
exaly   +3 more sources

Doubly warped product manifolds: Investigations through the projective curvature tensor and relativistic applications

AIP Advances
This paper introduces a description of a doubly warped product manifold, taking into account certain conditions related to the projective curvature tensor.
Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki, Rajesh Kumar   +3 more
doaj   +2 more sources

Killing and 2-Killing 1-Forms on Poisson Doubly Warped Product Manifolds

Mathematics
In this paper we investigate Killing and 2-Killing 1-forms on a Poisson doubly warped product manifold (PDWPM). We establish a connection between the property of 1-form on a PDWPM and its components on the factor manifolds to be Killing or 2-Killing.
Bang-Yen Chen, Majid Ali Choudhary, Foued Aloui, Ibrahim Al-Dayel   +3 more
doaj   +2 more sources

Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Filomat, 2017
In this paper, we establish some optimal inequalities for the squared mean curvature in terms warping functions of a C-totally real doubly warped product submanifold of a locally conformal almost cosymplectic manifold with a pointwise ?-sectional curvature c. The equality case in the statement of inequalities is also considered.
Ali, Akram, Uddin, Siraj, Othman, Wan Ainun Mior, Ozel, Cenap   +3 more
openaire   +3 more sources

On conformally doubly warped product Finsler manifold [PDF]

Journal 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.
openaire   +1 more source

Gradient Ricci-harmonic solitons on doubly warped product manifolds

Filomat, 2023
We give necessary and sufficient conditions for doubly warped product manifolds to be gradient Ricci-harmonic solitons. We also give a physical application for this kind of solitons.
Karaca, Fatma, Ozgur, Cihan
openaire   +3 more sources