논문KCI 등재
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.
Abstract
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.
관련 논문AI추천
Gauss maps of ruled submanifolds and applications I김동수, 김영호, 윤대원, 정선미대한수학회 · 대한수학회지2016 · 제53권 제6호On the Ruled Surfaces with $L_1$-Pointwise 1-Type Gauss Map김영호, Nurettin Cenk Turgay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호Some classifications of ruled submanifolds김동수, 김영호, 정선미대한수학회 · 대한수학회보2014 · 제51권 제3호RULED SURFACES AND GAUSS MAP김동수대한수학회 · 대한수학회보2015 · 제52권 제5호SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE김동수, 김영호대한수학회 · 대한수학회지2015 · 제52권 제6호SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND김동수한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호
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