Generalized parallel pi-equidistant ruled surfaces

In this paper, parallel pi-equidistant ruled surfaces in 3-dimensional Euclidean space E3, [6], were generalized to n-dimensional Euclidean space En. Then mean curvatures, Lipschitz–Killing curvatures, Gauss curvatures, scalar normal curvatures, Riemannian curvatures, Ricci curvatures, scalar curvat...

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Bibliographic Details
Published in:Acta et commentationes Universitatis Tartuensis de mathematica 2013-06, Vol.17 (1), p.3-18
Main Authors: Kuruoğlu, Nuri, Masal, Melek
Format: Article
Language:English
Subjects:
Euclidean geometry
Euclidean space
Online Access:Get full text
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Summary:In this paper, parallel pi-equidistant ruled surfaces in 3-dimensional Euclidean space E3, [6], were generalized to n-dimensional Euclidean space En. Then mean curvatures, Lipschitz–Killing curvatures, Gauss curvatures, scalar normal curvatures, Riemannian curvatures, Ricci curvatures, scalar curvatures of (m + 1)-dimensional parallel pi-equidistant ruled surfaces were calculated and some relations between these curvatures were found. Also, examples related to the parallel p3-equidistant ruled surfaces in the E3 are given.
ISSN:1406-2283
2228-4699
DOI:10.12697/ACUTM.2013.17.01