31 citations · 337 across the 52 of their papers we have counts for
54 papers
Ricci--Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds
Mancho Manev
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated wit…
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…
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…
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…
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian -manifolds
Hristo Manev, Mancho Manev
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian -manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tens…
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…
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…
Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms
Mancho Manev, Veselina Tavkova
Almost paracontact Riemannian manifolds of the lowest dimension are studied, whose paracontact distributions are equipped with an almost paracomplex structure. These manifolds are…
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…
Hyperspheres in Euclidean and Minkowski 4-spaces as almost paracontact almost paracomplex Riemannian manifolds
Mancho Manev, Veselina Tavkova
Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension are studied. Such structures are constructed on hyperspheres in 4-dimensional spaces, Euclidean a…
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…
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…
Matrix Lie Groups as 3-Dimensional Almost Paracontact Almost Paracomplex Riemannian Manifolds
Mancho Manev, Veselina Tavkova
Lie groups considered as three-dimensional almost paracontact almost paracomplex Riemannian manifolds are investigated. In each basic class of the classification used for the manif…
Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifolds
Mancho Manev
Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. It is proved that the Ricci tensor of such a soliton is th…
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…
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…
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…
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…
On Almost Paracontact Almost Paracomplex Riemannian Manifolds
Mancho Manev, Veselina Tavkova
Almost paracontact manifolds of an odd dimension having an almost paracomplex structure on the paracontact distribution are studied. The components of the fundamental (0,3)-tensor,…
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…
On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type
Mancho Manev
The object of study in the present dissertation are some topics in differential geometry of smooth manifolds with additional tensor structures and metrics of Norden type. There are…
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…
Natural Connections with Totally Skew-Symmetric Torsion on Manifolds with Almost Contact 3-Structure and Metrics of Hermitian-Norden Type
Mancho Manev
It is considered a differentiable manifold equipped with a pseudo-Riemannian metric and an almost contact 3-struc\-ture so that an almost contact metric structure and two almost co…
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…