12 citations · 19 across the 6 of their papers we have counts for
7 papers
Four-dimensional almost-Einstein manifolds with circulant structures
Iva Dokuzova, Georgi Dzhelepov, Dimitar Razpopov
This paper considers a four-dimensional Riemannian manifold with an additional circulant tensor structure . We prove that such a manifold is almost-Einstein if the curvature ten…
Spheres and circles with respect to an indefinite metric on a Riemanian manifold with a skew-circulant structure
Georgi Dzhelepov, Iva Dokuzova, Dimitar Razpopov
We study hyper-spheres, spheres and circles, with respect to an indefinite metric, in a tangent space on a 4-dimensional differentiable manifold. The manifold is equipped with a po…
The value of the work done by an isotropic vector force field along an isotropic curve
Dimitar Razpopov, Georgi Dzhelepov
In the present paper we consider a 3-dimensional differentiable manifold equipped with a Riemannian metric and an endomorphism , whose third power is the identity and $Q…
Spheres and circles with respect to an indefinite metric on a Riemannian manifold with circulant structures
Georgi Dzhelepov
We consider a -dimensional differentiable manifold with two circulant structures -- a Riemannian metric and an additional structure, whose third power is the identity. The struc…
Three-dimensional Riemannian manifolds with circulant structures
Iva Dokuzova, Dimitar Razpopov, Georgi Dzhelepov
We consider a 3-dimensional Riemannian manifold M with two circulant structures -- a metric g and an endomorphism q whose third power is identity. The structure q is compatible wit…
Almost conformal transformation in a class of Riemannian manifolds
Georgi Dzhelepov, Dimitar Razpopov, Iva Dokuzova
We consider a 3-dimensional Riemannian manifold V with a metric g and an affinor structure q. The local coordinates of these tensors are circulant matrices. In V we define an almos…