1 citations · 2 across the 9 of their papers we have counts for
12 papers
Parallel torsion and instantons
Stefan Ivanov, Alexander Petkov, Luis Ugarte
Instanton properties of the characteristic connection on an integrable manifold as well as instanton condition of the torsion connection on a mani…
Li-Yau sub-gradient estimates and Perelman-type entropy formulas for the heat equation in quaternionic contact geometry
Stefan Ivanov, Alexander Petkov
We establish in the present paper two sub-gradient estimates for the quaternionic contact (qc) heat equation on a compact qc manifold of dimension , provided some positivity…
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 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…
The qc Yamabe problem on non-spherical quaternionic contact manifolds
Stefan Ivanov, Alexander Petkov
It is shown that the qc Yamabe problem has a solution on any compact qc manifold which is non-locally qc equivalent to the standard 3-Sasakian sphere. Namely, it is proved that on…