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”'.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1989 |
Submission Date | January 1, 1989 |
Published in Issue | Year 1989 Volume: 38 Issue: 01.02 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.