<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>E</italic>3 with density <italic>e</italic><italic>z</italic> and <italic>e</italic>−<italic>x</italic>2−<italic>y</italic>2 are given.</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 ez and e−x2−y2 are given.

Offset Ruled Surface in Euclidean Space with Density

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Offset Ruled Surface in Euclidean Space with Density"}

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...

Offset Ruled Surface in Euclidean Space with Density

Published Online: Apr 13, 2021

Page range: 219 - 233

Received: Apr 01, 2020

Accepted: May 25, 2020

DOI: https://doi.org/10.2478/auom-2021-0015

Keywords
Ruled surface, Offset surface, Space with density

© 2021 Neslihan Ulucan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Offset Ruled Surface in Euclidean Space with Density

Published Online: Apr 13, 2021

Page range: 219 - 233

Received: Apr 01, 2020

Accepted: May 25, 2020

DOI: https://doi.org/10.2478/auom-2021-0015

KeywordsRuled surface, Offset surface, Space with density

© 2021 Neslihan Ulucan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Ruled surface, Offset surface, Space with density