GKM actions on cohomogeneity one manifolds

نویسندگان

چکیده

We consider compact manifolds $M$ with a cohomogeneity one action of Lie group $G$ such that the orbit space $M/G$ is closed interval. For $T$ maximal torus $G$, we find necessary and sufficient conditions on diagram $T$-action GKM type, describe its graph. The general results are illustrated explicit examples.

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ژورنال

عنوان ژورنال: Forum Mathematicum

سال: 2023

ISSN: ['1435-5337', '0933-7741']

DOI: https://doi.org/10.1515/forum-2022-0061