具有密度的欧几里得空间中的偏移直纹曲面

Pub Date : 2021-03-01 DOI:10.2478/auom-2021-0015

Neslihan Ulucan, M. Akyiğit

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引用次数: 0

摘要

利用密度欧几里得空间中直纹曲面的几何特性，定义了这些空间中的偏移直纹曲面。研究了这些曲面的平均曲率和高斯曲率。此外，给出了E3中密度为ez和e−x2−y2的偏移直纹曲面的平均曲率和平均曲率与密度的关系，以及高斯曲率和高斯曲率与密度的关系。

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Offset Ruled Surface in Euclidean Space with Density

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.

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