A Convexity Theorem For Isoparametric Submanifolds
نویسنده
چکیده
The main objective of this paper is to discuss a convexity theorem for a certain class of Riemannian manifolds, so-called isoparametric submanifolds, and how this relates to other convexity theorems. In the introduction we will present the convexity theorems. In Section 2 we will describe the geometry of isoparametric submanifolds and in Section 3 we will relate this to the geometries of the other convexity theorems. Finally in Section 4 we will give the proof of the convexity theorem for isoparametric submanifolds.
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