113 citations · 877 across the 56 of their papers we have counts for
62 papers
The Riemannian curvature identities for the torsion connection on -manifold and generalized Ricci solitons
Stefan Ivanov, Alexander Petkov
It is shown that on compact --manifold with exterior derivative of the Lee form lying in the Lie algebra the curvature of the --torsion connection $…
The Riemannian curvature identities of a connection with skew-symmetric torsion and generalized Ricci solitons
Stefan Ivanov, Nikola Stanchev
Curvature properties of the characteristic connection on an integrable manifold are investigated. We consider integrable manifold of constant type, i.e. the scalar prod…
The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons
Stefan Ivanov, Nikola Stanchev
Curvature properties of a metric connection with totally skew-symmetric torsion are investigated. It is shown that if either the 3-form is harmonic, or the curvature…
The Almost Schur Lemma in Quaternionic Contact Geometry
Stefan Ivanov, Alexander Petkov
We establish quaternionic contact (qc) versions of the so called Almost Schur Lemma, which give estimations of the qc scalar curvature on a compact qc manifold to be a constant in…
The CR Almost Schur Lemma and the positivity conditions
Stefan Ivanov, Alexander Petkov
We establish a new version of the CR almost Schur Lemma which gives an estimation of the pseudohermitian scalar curvature on a compact strictly pseudoconvex pseudohermitian manifol…
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…