We study the set[Figure not available: see fulltext.] of rank p idempotents in a topologically simple Hilbert Jordan algebra (JH-algebra for short). To produce the differential geometric structure on[Figure not available: see fulltext.], we establish Jordan algebraic results concerning the structure of some two-generator subalgebras. We identify geodesics, the Riemannian distance and the sectional curvature of[Figure not available: see fulltext.] by using the Jordan algebraic structure.
All Science Journal Classification (ASJC) codes
- Political Science and International Relations
- Geometry and Topology