The Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
Keyword(s):
We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean curvature and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we define the third Laplace-Beltrami operator and apply it to the rotational hypersurface.
2006 ◽
Vol 37
(3)
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pp. 221-226
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2021 ◽
Vol 29
(1)
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pp. 219-233
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1993 ◽
Vol 07
(27)
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pp. 4615-4629
1981 ◽
Vol 23
(2)
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pp. 249-253
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1990 ◽
Vol 49
(1)
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pp. 90-110
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1985 ◽
Vol 100
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pp. 135-143
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1972 ◽
Vol 45
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pp. 139-165
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