Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1989 / Cilt: 38 - Sayı: 01.02

Relations Between The Mean Curvatures Of The Parallel Submanifolds

Pages
1–1
DOI
—

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”'.