21 citations · 78 across the 15 of their papers we have counts for
4 papers · 2 filters
A Classification of Riemannian manifolds of quasi-constant sectional curvatures
Georgi Ganchev, Vesselka Mihova
Riemannian manifolds of quasi-constant sectional curvatures (QC-manifolds) are divided into two basic classes: with positive or negative horizontal sectional curvatures. We prove t…
Time-like Weingarten surfaces with real principal curvatures in the three-dimensional Minkowski space and their natural partial differential equations
Vesselka Mihova, Georgi Ganchev
We study time-like surfaces in the three-dimensional Minkowski space with diagonalizable second fundamental form. On any time-like W-surface we introduce locally natural principal…
Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations
Georgi Ganchev, Vesselka Mihova
On any space-like W-surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to mo…
Natural PDE's of Linear Fractional Weingarten surfaces in Euclidean Space
Georgi Ganchev, Vesselka Mihova
We prove that the natural principal parameters on a given Weingarten surface are also natural principal parameters for the parallel surfaces of the given one. As a consequence of t…