Results 1 to 10 of about 4,749,396 (175)
On the Geometry in the Large of Einstein-like Manifolds
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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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
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A new curvature-like tensor in an almost contact Riemannian manifold
In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics.
Hristo Manev, Mancho Manev
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We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
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The use of matlab platform to compte some geometric quantities of 3-manifold sol3 [PDF]
In this paper we use MATLAB platform [7, 8] to calculate some quantities of 3-manifold sol3 like Christoffel symbols, curvatures, Einstein tensor and plot the geodesics of this space.
Nemat Abazari, Masoud Sahraiy
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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.
Aydın, Sibel Gerdan +1 more
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A Characterization of GRW Spacetimes
We show presence a special torse-forming vector field (a particular form of torse-forming of a vector field) on generalized Robertson–Walker (GRW) spacetime, which is an eigenvector of the de Rham–Laplace operator.
Ibrahim Al-Dayel +2 more
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Generalised radiating fields in Einstein–Gauss–Bonnet gravity
A five-dimensional spherically symmetric generalised radiating field is studied in Einstein–Gauss–Bonnet gravity. We assume the matter distribution is an extended Vaidya-like source and the resulting Einstein–Gauss–Bonnet field equations are solved for ...
Byron P. Brassel, Sunil D. Maharaj
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Charged and Electromagnetic Fields from Relativistic Quantum Geometry
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
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