35 citations · 167 across the 39 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.DG2011★ 12 cited
Timelike surfaces with zero mean curvature in Minkowski 4-space
Georgi Ganchev, Velichka Milousheva
On any timelike surface with zero mean curvature in the four-dimensional Minkowski space we introduce special geometric (canonical) parameters and prove that the Gauss curvature an…
math.DG2011★ 17 cited
An invariant theory of marginally trapped surfaces 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 associate a geometrically det…
math.DG2011★ 25 cited
Invariants and bonnet-type theorem for surfaces in $\r^4$
Georgi Ganchev, Velichka Milousheva
In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map of Weingarten-type and find a geometrically determined mo…