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Generalized parallelpi-equidistant ruled surfaces
2013
Acta et Commentationes Universitatis Tartuensis de Mathematica
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In this paper, parallel pi-equidistant ruled surfaces in 3-dimensional Euclidean space E 3 , [6], were generalized to n-dimensional Euclidean space E n . 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 E 3 are given.
doi:10.12697/acutm.2013.17.01
fatcat:moasmp2gujflfjqu4qe6eseoke