The classification of ϕ-symmetric Sasakian manifolds

J. A. Jiménez, O. Kowalski

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

A φ{symbol}-symmetric space M is a complete connected regular Sasakian manifold, that fibers over an Hermitian symmetric space N, so that the geodesic involutions of N lift to define global (involutive) automorphisms of the Sasakian structure on M. In the present paper the complete classification of φ{symbol}-symmetric spaces is obtained. The groups of automorphisms of the Sasakian structures and the groups of isometries of the underlying Riemannian metrics are determined. As a corollary, the Sasakian space forms are also determined.

Original languageEnglish (US)
Pages (from-to)83-98
Number of pages16
JournalMonatshefte für Mathematik
Volume115
Issue number1-2
DOIs
StatePublished - Mar 1993

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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