Offset Ruled Surface in Euclidean Space with Density

Neslihan Ulucan; Mahmut Akyigit

doi:10.2478/auom-2021-0015

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Offset Ruled Surface in Euclidean Space with Density

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 1 (March 2021)

By: Neslihan Ulucan and Mahmut Akyigit

Open Access

|Apr 2021

Abstract

In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied. In addition, the relationships between the mean curvature and mean curvature with density, and the Gaussian curvature and the Gaussian curvature with density of the offset ruled surfaces in E³ with density e^z and e⁻^x²⁻^y² are given.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2021-0015 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 219 - 233

Submitted on: Apr 1, 2020

Accepted on: May 25, 2020

Published on: Apr 13, 2021

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2021 Neslihan Ulucan, Mahmut Akyigit, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 1 (March 2021)