학술논문
A NOTE ON SURFACES IN THE NORMAL BUNDLE OF A CURVE
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Doohann Lee HeungSu Yi
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 211~218쪽, 전체 8쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2014.05.30
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국문 초록
영문 초록
In 3-dimensional Euclidean space, the geometric ¯g- ures of a regular curve are completely determined by the curvature function and the torsion function of the curve, and surfaces are the fundamental curved spaces for pioneering study in modern geom-etry as well as in classical di？？erential geometry. In this paper, we
de¯ne parametrizations for surface by using parametric functions whose images are in the normal plane of each point on a given curve, and then obtain some results relating the Gaussian curva-ture of the surface with curvature and torsion of the given curve.
In particular, we ¯nd some conditions for the surface to have either nonpositive Gaussian curvature or nonnegative Gaussian curvature.
목차
1. Introduction
2. Curvatures of surfaces in the normal bundle of a curve
3. Curvature of a surface de¯ned by a homogeneous normal sectional parametrization
키워드
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