Super parallel immersions in Euclidean space

Tarek Fathy Mersal and Mohamed Esmail Basher

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-5

Abstract:

Two submanifolds of Euclidean n -space E n are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal transformation on super parallel mates. Our notion is generalized to super transnormal submanifolds and its relation with super self-parallel submanifolds and convex super self-parallel submanifolds.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:763946

DOI: 10.1155/S016117120200666X

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