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A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from eigenvalue problem of immersion. The notion of generalized 1-type is a… Click to show full abstract
A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from eigenvalue problem of immersion. The notion of generalized 1-type is a natural generalization of those of 1-type in the usual sense and pointwise 1-type. We classify ruled surfaces with 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.
Keywords:
extension eigenvalue;
problems gauss;
eigenvalue problems;
type;
ruled surfaces;
gauss map
Journal Title: Symmetry
Year Published: 2018
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!