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- W2960916495 abstract "An involutive diffeomorphism $sigma$ of a connected smooth manifold $M$ is called dissecting if the complement of its fixed point set is not connected. Dissecting involutions on a complete Riemannian manifold are closely related to constructive quantum field theory through the work of Dimock and Jaffe/Ritter on the construction of reflection positive Hilbert spaces. In this article we classify all pairs $(M,sigma)$, where $M$ is an irreducible symmetric space, not necessarily Riemannian, and $sigma$ is a dissecting involutive automorphism. In particular, we show that the only irreducible $1$-connected Riemannian symmetric spaces are $S^n$ and $H^n$ with dissecting isometric involutions whose fixed point spaces are $S^{n-1}$ and $H^{n-1}$, respectively." @default.
- W2960916495 created "2019-07-23" @default.
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- W2960916495 date "2019-07-17" @default.
- W2960916495 modified "2023-10-02" @default.
- W2960916495 title "Symmetric spaces with dissecting involutions" @default.
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