Differential Geometry of Special Mappings

On Z-Symmetric Manifold with Conharmonic Curvature Tensor in Special Conditions

“…Denoting R h ijk and Rh ijk are the Riemann tensors of the manifolds M and M , respectively, then we have [11,20] Rh…”

The Curve Shortening Flow in the Metric-Affine Plane

“…In recent decades, many results have appeared in the differential geometry of a manifold with an affine connection ∇ (which is a method for transporting tangent vectors along curves), e.g., collective monographs [6,7]. The difference T = ∇ − ∇ (of ∇ and the Levi-Civita connection ∇ of g), is a (1,2)-tensor, called contorsion tensor.…”