Items for "rank one symmetric spaces"

Carnot spaces and the k-stein condition

A riemannian manifold M with associated Jacobi operators R_X (R_X Y = R(Y, X) X), X in TM, is said to be k-stein, k ≥ 1, if there exists a function μ_k on M such that tr(R^k_X) = μ_k|X|^2k for all X in TM...

Keywords: Lie group of Iwasawa type, Carnot spaces, k-stein condition, rank one symmetric spaces, DamekRicci spaces, Harmonic spaces