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"The present book provides a nice overview of topics related to isometric actions, exploring relations to active research areas (primarily of the authors), such as isoparametric submanifolds, polar actions, polar foliations, cohomogeneity one actions, and positive curvature via symmetries. ... The book is of great benefit for mature graduate students or researchers in the field." (Andreas Arvanitoyeorgos, zbMATH 1322.22001, 2015)