2-type surfaces with 1-type gauss map
Commun. Korean Math. Soc. 1997 Vol. 12, No. 1, 79-86
Kyung-Ok Jang, Young Ho Kim
Kyungpook National University, Kyungpook National University
Abstract : It is well-known that a null 2-type surface in 3-dimensional Euclidean space $ E^3$ is an open portion of circular cylinder. In this article we prove that a surface with 2-type and 1-type Gauss map in $E^3$ is in fact of null 2-type and thus it is an open portion of circular cylinder.
Keywords : submanifolds of finite type, finite type Gauss map, principal directions
MSC numbers : 53B25, 53C50
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