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In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized tractrices in Euclidean $ (n+1)$-space $\mathbb{E}^{n+1}$. Further, we introduce some kind of generalized rotational surfaces in Euclidean spaces $\mathbb{E}^{3}$ and $ \mathbb{E}^{4}$, respectively. We have also obtained some basic properties of generalized rotational surfaces in $\mathbb{E}^{4}$ and some results of their curvatures. Finally, we give some examples of generalized Beltrami surfaces in $\mathbb{E}^{3}$ and $\mathbb{E}^{4}$, respectively.
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참고문헌 (20)
참고문헌 신청
B. Bulca / 2009 / Spherical product surfaces in E3 / IEEE Computer Society, Int. Conference on Cyberworlds
B. Bulca / 2012 / E4 deki Yuzeylerin Bir Karakterizasyonu / PhD
B. Bulca / 2012 / Spherical product surfaces in E4 / An. Stiint. Univ. “Ovidius” Constanta Ser. Mat 20 (1) : 41 ~ 54
B. Y. Chen / 1972 / Pseudo-umbilical surfaces with constant Gauss curvature / Proc. Edinburgh Math. Soc. (2) 18 : 143 ~ 148
B. Y. Chen / 1973 / Geometry of Submanifolds / Dekker
B. Bulca / 2012 / E4 deki Yuzeylerin Bir Karakterizasyonu / PhD
B. Bulca / 2012 / Spherical product surfaces in E4 / An. Stiint. Univ. “Ovidius” Constanta Ser. Mat 20 (1) : 41 ~ 54
B. Y. Chen / 1972 / Pseudo-umbilical surfaces with constant Gauss curvature / Proc. Edinburgh Math. Soc. (2) 18 : 143 ~ 148
B. Y. Chen / 1973 / Geometry of Submanifolds / Dekker
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