18 citations · 22 across the 3 of their papers we have counts for
3 papers
math.DG2005★ 1 cited
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…
math.DG2003★ 3 cited
Calabi-Yau Connections with Torsion on Toric Bundles
D. Grantcharov, G. Grantcharov, Y. S. Poon
We find sufficient conditions for a principal toric bundle over compact Kähler manifolds to admit Calabi-Yau connections with torsion. With the aids of a topological classification…
math.DG2003★ 18 cited
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…