activity
20092026
most citedOn a Three Dimensional Riemannian Manifold with an Additional Structure

12 citations · 29 across the 12 of their papers we have counts for

collaborators

13 papers

math.DG2026

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…

math.DG2023★ 1 cited

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…

math.DG2020

A Riemannian manifold with skew-circulant structures and an associated locally conformal Kähler manifold

Dimitar Razpopov, Iva Dokuzova

A 4-dimensional Riemannian manifold M, equipped with an additional tensor structure S, whose fourth power is minus identity, is considered. The structure S has a skew-circulant mat…

math.DG2020★ 1 cited

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…

math.DG2018★ 2 cited

Two types of Lie Groups as 4-dimensional Riemannian manifolds with circulant structure

Iva Dokuzova, Dimitar Razpopov, Mancho Manev

A 4-dimensional Riemannian manifold equipped with an endomorphism of the tangent bundle, whose fourth power is the identity, is considered. The matrix of this structure in some bas…

math.DG2017★ 2 cited

Riemannian almost product manifolds generated by a circulant structure

Dobrinka Gribacheva, Dimitar Razpopov

A 4-dimensional Riemannian manifold equipped with a circulant structure, which is an isometry with respect to the metric and its fourth power is the identity, is considered. The al…