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20072024
most citedNatural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric

31 citations · 337 across the 52 of their papers we have counts for

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Showing 2020 · math.DGShow all

7 papers · 2 filters

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

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…

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★ 1 cited

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…

math.DG2020★ 1 cited

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…

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…