Имя: Stana Nikčević Simić Название:Homothety Curvature Homogeneity and Homothety Homogeneity Город, страна: Belgrade, Serbia Организация: University of Belgrade Абстракт:
We examine the difference between several notions of curvature homogeneity and
show that the notions introduced by Kowalski and Vanzurova are genuine generalizations of
the ordinary notion of k-curvature homogeneity. The homothety group plays an essential role
in the analysis. We give a complete classification of homothety homogeneous manifolds
which are not homogeneous and which are not VSI and show that such manifolds are
cohomogeneity one. We also give a complete description of the local geometry if the
homothety character defines a split extension.
Joint work with E. Garcia-Rio and P. Gilkey.