论文标题

半圣对称接触空间

Semisimple symmetric contact spaces

论文作者

Alekseevsky, Dmitri, Gorodski, Claudio

论文摘要

We classify contact manifolds $(M,\mathcal D)$ which are homogeneous under a connected semisimple Lie group $G$, and symmetric in the sense that there exists a contactomorphism of $(M,\mathcal D)$ normalizing $G$, fixing a point $o$ in $M$ and restricting to minus identity along $\mathcal D_o$.

We classify contact manifolds $(M,\mathcal D)$ which are homogeneous under a connected semisimple Lie group $G$, and symmetric in the sense that there exists a contactomorphism of $(M,\mathcal D)$ normalizing $G$, fixing a point $o$ in $M$ and restricting to minus identity along $\mathcal D_o$.

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