15 citations · 59 across the 21 of their papers we have counts for
26 papers
Gray-Hervella classes on product twistor spaces
Johann Davidov
Motivated by generalized geometry (in the sense of Hitchin), the product bundle of the twistor space of a Riemannian manifold $…
Generalized paracomplex structures on generalized reflector spaces
Johann Davidov
Non-trivial examples of generalized paracomplex structures (in the sense of the generalized geometry à la Hitchin) are constructed applying the twistor space construction scheme.
On a natural map between twistor spaces
Johann Davidov
A diffeomorphism between the twistor spaces of two Riemannian metrics on a smooth manifold preserving the fibres is defined based on a well-known construction. It is shown that thi…
Pseudo-harmonic Hermitian structures on Weyl manifolds
Kamran Shakoor, Johann Davidov
We find geometric conditions on a Hermitian-Weyl manifold under which the complex structure is a pseudo-harmonic map in the sense of G. Kokarev \cite{K09} from the manifold into it…
Complex surfaces and null conformal Killing vector fields
Johann Davidov, Gueo Grantcharov, Oleg Mushkarov
We study the relation between the existence of null conformal Killing vector fields and existence of compatible complex and para-hypercomplex structures on a pseudo-Riemannian mani…
Harmonic Hermitian structures on Riemannian manifolds with skew-torsion
Johann Davidov
We find geometric conditions on a four-dimensional Hermitian manifold endowed with a metric connection with totally skew-symmetric torsion under which the complex structure is a ha…