Communications 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
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 +1 more source
A GENERAL INEQUALITY FOR DOUBLY WARPED PRODUCT SUBMANIFOLDS [PDF]
, 2010 In this paper, we consider doubly warped product manifolds and we establish a general inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds. Some aplications are derived.
Olteanu, Andreea
core +1 more source
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
Remarks on metallic warped product manifolds [PDF]
, 2018 We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic.
Blaga, Adara M., Hretcanu, Cristina E.
core +2 more sources
Special Standard Static Space-Times [PDF]
, 2004 Essentially, some conditions for the Riemannian factor and the warping function of a standard static space-time are obtained in order to guarantee that no nontrivial warping function on the Riemannian factor can make the standard static space-time ...
Dobarro, Fernando, Unal, Bulent
core +1 more source
A doubly covariant formula of deficit angle and its application to six-dimensional braneworld [PDF]
, 2006 We reformulate boundary conditions for axisymmetric codimension-2 braneworlds in a way which is applicable to linear perturbation with various gauge conditions.
+19 more
core +2 more sources
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 +2 more sources
Geophysical Monograph Series, Page 263-304., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jessica H. Whiteside +3 more
wiley +1 more source
ON RICCI-PSEUDOSYMMETRIC DOUBLY WARPED PRODUCTS
Demonstratio Mathematica, 1996 In this paper doubly warped product manifolds that satisfy a curvature condition known as Ricci-pseudosymmetry are studied. Necessary and sufficient conditions for a doubly warped product to be Ricci-pseudosymmetric are stated. In the special case that the two factor manifolds of the doubly warped product are both Einstein manifolds, the author states ...
openaire +2 more sources