On preserved properties for slant ruled surfaces under homothety in \(E^{3}\)
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https://doi.org/10.26637/mjm1203/006Abstract
In mathematics, it is known that if \(E^{3} \rightarrow E^{3}\) is a homothety and \(N\) is a surface in \(E^{3}\), then \(f(N)=\bar{N}\) is a surface in \(E^{3}\). In this study, especially, the surface \(N\) is considered a slant ruled surface. Then, it is proved that the image surface \(f(N)=\bar{N}\) is a slant ruled surface, too. Moreover, some significant properties are shown to be preserved under homothety in \(E^{3}\).
Keywords:
Slant ruled surface, homothety, connection preserving mapMathematics Subject Classification:
53C05, 53B05, 53B15- Pages: 283-289
- Date Published: 01-07-2024
- Vol. 12 No. 03 (2024): Malaya Journal of Matematik (MJM)
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