output
20082023
most citedRicci-like solitons on almost contact B-metric manifolds

31 citations

25 papers

math.DG2023★ 2 cited

Pairs of associated Yamabe almost solitons with vertical potential on almost contact complex Riemannian manifolds

Mancho Manev

Almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds, are in principle equipped with a pair of mutually associated pseudo-Riemannian metrics…

math.DG2022★ 2 cited

Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds

Mancho Manev

Almost Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e. an almost contact B-metric manifold, obtained from a cosymplectic manifold…

math.DG2022★ 3 cited

Yamabe Solitons on Conformal Almost Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field

Mancho Manev

A Yamabe soliton is considered on an almost contact complex Riemannian manifold (also known as an almost contact B-metric manifold) which is obtained by a contact conformal transfo…

math.DG2022★ 4 cited

Yamabe solitons on conformal Sasaki-like almost contact B-metric manifolds

Mancho Manev

A Yamabe soliton is defined on arbitrary almost contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form…

math.GM2021★ 8 cited

Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds

Hristo Manev, Mancho Manev

It is introduced and studied para-Ricci-like solitons with potential Reeb vector field on almost paracontact almost paracomplex Riemannian manifolds. The special cases of para-Eins…

math.DG2020

Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure

Hristo Manev, Mancho Manev

There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the paracontact distribution and an almost paracontact almost paracomplex Ri…

math.DG2020★ 17 cited

Para-Sasaki-like Riemannian manifolds and new Einstein metrics

Stefan Ivanov, Hristo Manev, Mancho Manev

We extract a new class of paracontact paracomplex Riemannian manifolds arising from certain cone construction, call it para-Sasaki-like Riemannian manifold and give explicit exampl…

math.DG2020★ 5 cited

Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds

Mancho Manev

A generalization of Ricci-like solitons with torse-forming potential, which is a constant multiple of the Reeb vector field, is studied. The conditions under which these solitons a…

math.DG2020★ 10 cited

Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifolds

Mancho Manev

Ricci-like solitons on Sasaki-like almost contact B-metric manifolds are the object of study. Cases, where the potential of the Ricci-like soliton is the Reeb vector field or point…

math.DG2019★ 31 cited

Ricci-like solitons on almost contact B-metric manifolds

Mancho Manev

Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potential…

math.DG2019★ 7 cited

Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds

Mancho Manev, Veselina Tavkova

Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension 3 are considered. Such structures are constructed on a family of Lie groups and the obtained mani…

math.DG2018

Invariant tensors under the twin interchange of the pairs of the associated metrics on almost paracomplex pseudo-Riemannian manifolds

Mancho Manev

The object of study is almost paracomplex pseudo-Riemannian manifolds with a pair of metrics associated each other by the almost paracomplex structure. A torsion-free connection an…

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…

cs.CY2017★ 2 cited

Design, analysis and implementation of electronic test for knowledge evaluation in the course of Information Technologies for pharmaceutical students

Hristo Manev, Mancho Manev

The increased usage of the information technologies in everyday life and especially in education leads to demands for new forms of teaching, studying and appropriate examination an…

math.DG2015

Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field

Galia Nakova, Hristo Manev

In this paper we study slant null curves with respect to the original parameter on 3-dimensional normal almost contact B-metric manifolds with parallel Reeb vector field. We prove…

math.NA2015

A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods

Petko D. Proinov

In this paper, we establish a general semilocal convergence theorem (with computationally verifiable initial conditions and error estimates) for iterative methods for simultaneous…

math.DG2015★ 4 cited

Associated Nijenhuis Tensors on Manifolds with Almost Hypercomplex Structures and Metrics of Hermitian-Norden Type

Mancho Manev

An associated Nijenhuis tensor of endomorphisms in the tangent bundle is introduced. Special attention is paid to such tensors for an almost hypercomplex structure and the metric o…

math.NA2015★ 1 cited

On a family of Weierstrass-type root-finding methods with accelerated convergence

Petko D. Proinov, Maria T. Vasileva

Kyurkchiev and Andreev (1985) constructed an infinite sequence of Weierstrass-type iterative methods for approximating all zeros of a polynomial simultaneously. The first member of…

math.DG2015★ 6 cited

Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure

Mancho Manev

There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated…

math.DG2015★ 1 cited

Space-like and time-like hyperspheres in real pseudo-Riemannian 4-spaces with almost contact B-metric structures

Hristo Manev

There are considered 4-dimensional pseudo-Riemannian spaces with inner products of signature (3,1) and (2,2). The objects of investigation are space-like and time-like hyperspheres…

math.NA2015★ 2 cited

General convergence theorems for iterative processes and applications to the Weierstrass root-finding method

Petko D. Proinov

In this paper, we prove some general convergence theorems for the Picard iteration in cone metric spaces over a solid vector space. As an application, we provide a detailed converg…

math.DG2014★ 25 cited

Lie groups as 3-dimensional almost contact B-metric manifolds

Hristo Manev, Dimitar Mekerov

The object of investigations are almost contact B-metric structures on 3-dimensional Lie groups considered as smooth manifolds. There are established the existence and some geometr…

math.DG2014★ 25 cited

On the structure tensors of almost contact B-metric manifolds

Hristo Manev

The space of the structure (0,3)-tensors of the covariant derivatives of the structure endomorphism and the metric on almost contact B-metric manifolds is considered. A known decom…

math.DG2014★ 29 cited

Sasaki-like almost contact complex Riemannian manifolds

Stefan Ivanov, Hristo Manev, Mancho Manev

A Sasaki-like almost contact complex Riemannian manifold is defined as an almost contact complex Riemannian manifold which complex cone is a holomorphic complex Riemannian manifold…