Osserman-$P$ spaces of Iwasawa type

Isabel G. Dotti and Maria J. Druetta

E-mail: idotti@mate.uncor.edu, druetta@mate.uncor.edu

Abstract. We show that a solvable Lie group of Iwasawa type, $2$-step nilpotent nilradical with a left invariant metric satisfying the Osserman-$p$ condition, ($ 1\leq p <{\rm dim}\; S$) is either a space of constant negative sectional curvature or a Damek-Ricci space.

AMSclassification. 53C30

Keywords. Iwasawa type, Osserman-$p$ condition