Grassmann manifold of a JH-algebra

Takaaki Nomura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)237-260
Number of pages24
JournalAnnals of Global Analysis and Geometry
Volume12
Issue number1
DOIs
Publication statusPublished - Feb 1 1994

All Science Journal Classification (ASJC) codes

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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