18 citations · 19 across the 2 of their papers we have counts for
4 papers · 1 filter
Curvature properties of the Chern connection of twistor spaces
J. Davidov, G. Grantcharov, O. Muskarov
The twistor space \Z of an oriented Riemannian 4-manifold M admits a natural 1-parameter family of Riemannian metrics h_t compatible with the almost complex structures J_1 and J_2…
On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)
Anna Fino, Gueo Grantcharov
In this paper we provide examples of hypercomplex manifolds which do not carry HKT structure. We also prove that the existence of HKT structure is not stable under small deformatio…
Reduction of Sasakian manifolds
Gueo Grantcharov, Liviu Ornea
We show that the contact reduction can be specialized to Sasakian manifolds. We link this Sasakian reduction to Kähler reduction by considering the Kähler cone over a Sasakian mani…
The Dolbeault operator on Hermitian spin surfaces
Bogdan Alexandrov, Gueo Grantcharov, Stefan Ivanov
We consider the Dolbeault operator of -- the square root of the canonical line bundle which determines the spin structure of a compact Hermitian spin surface (M,g,J). We…