Involutions of compact Riemannian 4-symmetric spaces

Hiroyuki Kurihara; Koji Tojo

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Involutions of compact Riemannian 4-symmetric spaces

Hiroyuki Kurihara·Koji Tojo

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Abstract

Let G/H be a compact 4-symmetric space of inner type such that the dimension of the center Z(H) of H is at most one. In this paper we shall classify involutions of G preserving H for the case where dim Z(H)=0, or H is a centralizer of a toral subgroup of G.

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Hiroyuki Kurihara, Koji Tojo. 2007-08-02. Involutions of compact Riemannian 4-symmetric spaces. https://arxiv.org/abs/math/0702869

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