15 citations · 57 across the 17 of their papers we have counts for
11 papers · 1 filter
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…
Curvature properties of twistor spaces
Johann Davidov, Oleg Mushkarov
In this paper we review some results on the Riemannian and almost Hermitian geometry of twistor spaces of oriented Riemannian -manifolds with emphasis on their curvature propert…
Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures
Johann Davidov, Oleg Mushkarov
In this paper we describe the oriented Riemannian four-manifolds for which the Atiyah-Hitchin-Singer or Eells-Salamon almost complex structure on the twistor space ${\mathcal Z…
Almost complex structures that are harmonic maps
Johann Davidov, Absar Ul Haq, Oleg Mushkarov
We find geometric conditions on a four-dimensional almost Hermitian manifold under which the almost complex structure is a harmonic map or a minimal isometric imbedding of the mani…
Compatible almost complex structures on twistor spaces and their Gray-Hervella classes
Danish Ali, Johann Davidov, Oleg Mushkarov
In this paper we determine the Gray-Hervella classes of the compatible almost complex structures on the twistor spaces of oriented Riemannian four-manifolds considered by G. Descha…
Compact complex surfaces with geometric structures related to split quaternions
Johann Davidov, Gueo Grantcharov, Oleg Mushkarov +1
We study the problem of existence of geometric structures on compact complex surfaces that are related to split quaternions. These structures, called para-hypercomplex, para-hyperh…