Weighted Minimal and Weighted Flat Surfaces of Revolution in Galilean 3-Space with Density
In this paper, we obtain the weighted mean and weighted Gaussian curvatures of surfaces of revolution in Galilean 3-space with density $e^{a_{1}x^{2}+a_{2}y^{2}+a_{3}z^{2}}$, $a_{1},a_{2},a_{3} \in R$ not all zero. Also, we investigate some cases of weighted minimal surfaces of revolution according...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2018-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1681 |
| Summary: | In this paper, we obtain the weighted mean and weighted Gaussian curvatures of surfaces of revolution in Galilean 3-space with density $e^{a_{1}x^{2}+a_{2}y^{2}+a_{3}z^{2}}$, $a_{1},a_{2},a_{3} \in R$ not all zero. Also, we investigate some cases of weighted minimal surfaces of revolution according to $a_{i},$ $i=1,2,3$ and weighted flat surfaces of revolution. |
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| ISSN: | 2291-8639 |