Extension of Eigenvalue Problems on Gauss Map of Ruled Surfaces
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A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from the eigenvalue problem of immersion. The notion of generalized 1-type is a natural generalization of 1-type in the usual sense and pointwise 1-type. We classify ruled surfaces with a generalized 1-type Gauss map as part of a plane, a circular cylinder, a cylinder over a base curve of an infinite type, a helicoid, a right cone and a conical surface of G-type.
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1993 ◽
Vol 16
(2)
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pp. 341-349
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2019 ◽
Vol 16
(05)
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pp. 1950076
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2000 ◽
Vol 34
(3-4)
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pp. 191-205
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1992 ◽
Vol 34
(3)
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pp. 355-359
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1990 ◽
Vol 02
(02)
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pp. 127-176
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