Spherical Product Surfaces in E4
2012 ◽
Vol 20
(1)
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pp. 41-54
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Keyword(s):
Abstract In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the special type of spherical product surfaces in E4. Further, we give necessary and sufficient condition for the origin of NpM to lie on the curvature ellipse of such surfaces. Finally we get the necessary condition for Ganchev-Milousheva rotational surfaces in E4 to become flat or Chen type. We also give some examples of the projections of these surfaces in E3
2017 ◽
Vol 10
(04)
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pp. 1750067
2012 ◽
Vol 22
(06)
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pp. 1250052
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2019 ◽
Vol 33
(10)
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pp. 1950086
2009 ◽
Vol 86
(1)
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pp. 45-60
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2016 ◽
Vol 62
(3)
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pp. 267-272
2007 ◽
Vol 38
(3)
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pp. 267-276
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1990 ◽
Vol 33
(4)
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pp. 482-488
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