CHARACTERIZATION OF CONICAL RULED SUBMANIFOLDS ASSOCIATED WITH THE GAUSS MAP

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초록

The Gauss map is a useful tool to examine submanifolds of Euclidean space. It is a map of a submanifold into a Euclidean space defined by parallel displacement of oriented planes gotten from the submanifold to the Grassmann manifold. In this paper, ruled submanifolds of Euclidean space with generalized 1-type Gauss map are studied and classified.

키워드

generalized 1-type Gauss map; ruled submanifold; Grassmannian manifold; a conical ruled submanifold; MINKOWSKI SPACE; FLAT SURFACES; CLASSIFICATIONS
제목
CHARACTERIZATION OF CONICAL RULED SUBMANIFOLDS ASSOCIATED WITH THE GAUSS MAP
저자
Jung, Sun Mi; Kim, Young Ho
DOI
10.4134/JKMS.j240124
발행일
2025-05
유형
Article
저널명
대한수학회지
권
62
호
3
페이지
619 ~ 644