Generalized parallel pi-equidistant ruled surfaces | Zendy

N. Kuruoğlu | Zendy; Melek Masal | Zendy

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Generalized parallel <i>p<sub>i</sub></i>-equidistant ruled surfaces

Author(s) -

N. Kuruoğlu,

Melek Masal

Publication year - 2013

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2013.17.01

Subject(s) - equidistant , mathematics , euclidean geometry , space (punctuation) , scalar (mathematics) , mathematical analysis , euclidean space , geometry , mathematical physics , philosophy , linguistics

In this paper, parallel p i -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 p i -equidistant ruled surfaces were calculated and some relations between these curvatures were found. Also, examples related to the parallel p 3 -equidistant ruled surfaces in the E 3 are given.

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