Curvature characterization and classification of rank-one symmetric spaces

Quo-Shin Chi

Vol. 150 (1991), No. 1, 31–42

DOI: 10.2140/pjm.1991.150.31

Abstract

We characterize and classify rank-one symmetric spaces by two axioms on R(⋅,v)v, the Jacobi part of the curvature tensor.

Mathematical Subject Classification 2000

Primary: 53C35

Milestones

Received: 15 November 1989

Published: 1 September 1991