21 citations · 78 across the 15 of their papers we have counts for
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Directed Riemannian manifolds of pointwise constant relative sectional curvature
Georgi Ganchev, Vesselka Mihova
We study a class of Riemannian manifolds with respect to the covariant derivative of their curvature tensors. We introduce geometrically the class of directed Riemannian manifolds…
Holomorphic hypersurfaces of Kaehler manifolds with Norden metric
Georgi Ganchev, Kostadin Gribachev, Vesselka Mihova
We study Kaehlerian manifolds with Norden metric and develop the theory of their holomorphic hypersurfaces with constant totally real sectional curvatures. We prove a classific…
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…