Results 1 to 10 of about 95,729 (224)
On the Geometry in the Large of Einstein-like Manifolds [PDF]
Gray has presented the invariant orthogonal irreducible decomposition of the space of all covariant tensors of rank 3, obeying only the identities of the gradient of the Ricci tensor.
Josef Mikeš +3 more
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An Einstein-like metric on almost Кenmotsu manifolds
In this paper, we prove that if the metric of a three-dimensional (k,?)'-almost Kenmotsu manifold satisfies the Miao-Tam critical condition, then the manifold is locally isometric to the hyperbolic space H3(-1). Moreover, we prove that if the metric of an almost Kenmotsu manifold with conformal Reeb foliation satisfies the Miao-Tam critical
Yaning Wang, Wenjie Wang
semanticscholar +3 more sources
Einstein-like Poisson Warped Product Manifolds and Applications [PDF]
In this paper, we introduce the concept of contravariant Einstein-like Poisson manifolds of classes A, B, and P. We then prove that the fiber space of a Poisson warped product manifold inherits the contravariant Einstein-like classes of the total space, while the base space inherits these classes under certain conditions related to the warping function.
Foued Aloui
semanticscholar +3 more sources
Einstein like -para Sasakian manifolds
Einstein like -para Sasakian manifolds are introduced. For an -para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained.
SADIK KELES +3 more
doaj +3 more sources
Charged and Electromagnetic Fields from Relativistic Quantum Geometry [PDF]
In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian ...
Marcos R. A. Arcodía, Mauricio Bellini
doaj +5 more sources
η -Ricci soliton on η -Einstein-like LP-Sasakian manifolds [PDF]
Abstract The object of the present article is to study the notion of η -Einstein-like LP-Sasakian manifolds admitting η -Ricci soliton.
Susanta Kumar Das +2 more
openalex +3 more sources
Einstein like $(\varepsilon)$-para Sasakian manifolds [PDF]
Einstein like $(\varepsilon)$-para Sasakian manifolds are introduced. For an $(\varepsilon) $-para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained. The scalar curvature of an Einstein like $(\varepsilon) $-para Sasakian manifold is obtained and it is shown that the scalar ...
Sadık Keleş +3 more
openalex +3 more sources
Conformally flat Einstein-like 4-manifolds and conformally flat Riemannian 4-manifolds all of whose Jacobi operators have parallel eigenspaces along every geodesic [PDF]
A local classification of locally conformal flat Riemannian Einstein-like four-manifolds as well as a local classification of all locally conformal flat Riemannian four-manifolds for which all Jacobi operators have parallel eigenspaces along every geodesic is given. Non-trivial explicit examples are presented.
Stefan Ivanov, Irina Petrova
+5 more sources
Warped-twisted products and Einstein-like manifolds
Summary: We study warped-twisted product manifolds in the form \({}_{f_2} M_1 \times_{f_1} M_2\) with warping function \(f_2\) on \(M_2\) and twisting function \(f_1\). We give a necessary and sufficient condition for a warped-twisted product to be a doubly warped product.
Sibel Gerdan Aydın, Hakan Mete Taçtan
openalex +2 more sources
Four-dimensional homogeneous manifolds satisfying some Einstein-like conditions
We classify four dimensional homogeneous manifolds satisfying some generalized Einstein conditions.
Eduardo García‐Río +3 more
openalex +6 more sources

