Relations Between The Mean Curvatures Of The Parallel Submanifolds

Relations Between The Mean Curvatures Of The Parallel Submanifolds

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”'.

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi