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math.DG2012★ 1 cited
Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space
Georgi Ganchev, Velichka Milousheva
In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbo…
math.DG2012★ 6 cited
Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space
Georgi Ganchev, Velichka Milousheva
A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. We introduce meridian surfaces o…
math.DG2012★ 11 cited
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…