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Isoparametric Foliations and Polar Actions on Complex Space Forms
The main objects of study in this thesis are certain kinds of submanifolds with a particularly high degree of symmetry. Our ultimate goal is to decide whether the intuitive notion of symmetry is reflected in the mathematical notion of symmetry, namely if the correspondence of shape at different parts of the submanifold implies that the submanifold is homogeneous.
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The main objects of study in this thesis are certain kinds of submanifolds with a particularly high degree of symmetry. Our ultimate goal is to decide whether the intuitive notion of symmetry is reflected in the mathematical notion of symmetry, namely if the correspondence of shape at different parts of the submanifold implies that the submanifold is homogeneous.