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A Generalization of the Bonnet Theorem to the Parallel Submanifolds

Ali Görgülü, Ertugru Ozdamar


In this paper, we give a generalization of the Bonnet Theorem to parallel submanifolds in Em. The Bonnet Theorem is well known for the parallel surfaces and parallel hypersurfaces as in [2],[3] . Finally, we obtain the Bonnet Theorem for the special cases of the parallel surfaces in E3 and the parallel hypersurfaces in Em.

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