Hypersurfaces with Generalized 1-Type Gauss Maps

In this paper, we study submanifolds in a Euclidean space with a generalized 1-type Gauss map. The Gauss map, G, of a submanifold in the n-dimensional Euclidean space, En, is said to be of generalized 1-type if, for the Laplace operator, Δ, on the submanifold, it satisfies ΔG=fG+...

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Bibliographic Details
Main Authors: Dae Won Yoon, Dong-Soo Kim, Young Ho Kim, Jae Won Lee
Format: Artigo
Language:Inglês
Published: MDPI AG 2018-07-01
Series:Mathematics
Subjects:
conical surface
developable surface
generalized 1-type Gauss map
cylindrical hypersurface
Online Access:http://www.mdpi.com/2227-7390/6/8/130
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