Relations Between The Mean Curvatures Of The Parallel Submanifolds

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:38 Issue:01.02
Relations Between The Mean Curvatures Of The Parallel Submanifolds

Relations Between The Mean Curvatures Of The Parallel Submanifolds

Authors : A GÖRGÜLÜ

Pages : 0-0

Doi:10.1501/Commua1_0000000307

View : 13 | Download : 9

Publication Date : 1989-01-01

Article Type : Research Paper

Abstract :in this paper, we give a formulae for L -th mean curvature of parallel submanifold to a given submanifold in E™ in the terms of principal curvatures of the given submanifold. In ad- dition we give a formulae for ı - th mean curvatures of paralel submanifold in E™ in the terms of ı - th mean curvatures of the given submanifold. Finally, we examine these formulaes for parallel surfaces in E’ and parallel hypersurfa- ces in E”`.
Keywords : Relations Between, Mean Curvatures, Parallel Submanifolds

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