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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★ 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…