On the existence of spherically bent submanifolds, an analogue of a theorem of E. Cartan

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概要

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• In this article an analogue of E. Cartan's theorem about the existence of (local) totally geodesic submanifolds with a prescribed tangent plane is proved, namely for the existence of spherically bent submanifolds (=extrinsic spheres); also a global version is deduced.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

国立大学法人 東京工業大学大学院理工学研究科数学専攻 | 論文

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