Results 11 to 20 of about 231 (179)
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +3 more sources
Einstein Doubly Warped Product Poisson Manifolds
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.
Foued Aloui, Ibrahim Al-Dayel
exaly +3 more sources
DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]
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 +2 more sources
On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC
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 +3 more sources
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 +6 more sources
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
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 +2 more sources
Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture
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
Gradient Ricci-harmonic solitons on doubly warped product manifolds [PDF]
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 +4 more sources
Gray’s decomposition on doubly warped product manifolds and applications [PDF]
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 +5 more sources
An Obata-type characterization of doubly-warped product Kähler manifolds
We give a characterization à la Obata for certain families of Kähler manifolds. These results are in the same line as other extensions of the well-known Obata rigidity theorem from [16], like for instance the generalizations in [17, 18]. Moreover, we give a complete description of the so-called Kähler doubly-warped product structures whose underlying ...
Ginoux, N. (Nicolas) +3 more
openaire +4 more sources

