Homothety Curvature Homogeneity

Abstract

We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanžurová are genuine generalizations of the ordinary notion of $k$-curvature homogeneity. The homothety group plays an essential role in the analysis.

References in corpus (2)

• Homogeneity of Lorentzian three-manifolds with recurrent curvature
• Singer invariants and strongly curvature homogeneous manifolds of type (1,3)