본문 바로가기
KERD
논문KCI 등재

SURFACES OF REVOLUTION WITH MORE THAN ONE AXIS

김영호|김동수
한국수학교육학회|2012.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제1호|pp. 1-5

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

geodesicaxissurface of revolutionnormal sectionsphere.
주제분류수학

초록

We study surfaces of revolution in the three dimensional Euclidean space R3 with two distinct axes of revolution. As a result, we prove that if a connected surface in the three dimensional Euclidean space R3 admits two distinct axes of revolution, then it is either a sphere or a plane.

Abstract

We study surfaces of revolution in the three dimensional Euclidean space R3 with two distinct axes of revolution. As a result, we prove that if a connected surface in the three dimensional Euclidean space R3 admits two distinct axes of revolution, then it is either a sphere or a plane.

참고문헌 (3)

  1. Hilbert, D., "Geometry and the imagination" (1952), Chelsea Publishing Company
  2. Kim, Y. H., "Characterization of generalized surfaces of revolution", Nihonkai Math. J., 2, pp.63~69 (1991)
  3. O'Neill, B., "Elementary di®enrential geometry" (1997), Academic Press

관련 논문AI추천

SURFACES OF REVOLUTION SATISFYING △IIG = f(G + C)Chahrazede Baba-Hamed, Mohammed Bekkar대한수학회 · 대한수학회보2013 · 제50권 제4호On the Gauss map of surfaces of revolution without parabolic points김영호, 윤대원, 이철우대한수학회 · 대한수학회보2009 · 제46권 제6호ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES김동수, 송부선한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제3호Surfaces foliated by ellipses with constant Gaussian curvature in Euclidean 3-spaceAhmed T. Ali, Fathi M. Hamdoon강원경기수학회 · 한국수학논문집2017 · 제25권 제4호Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space최미경, Dae Won Yoon대한수학회 · 대한수학회보2016 · 제53권 제2호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호

이 간행물의 다른 논문 (6건)

FINANCIAL TIME SERIES FORECASTING USING FUZZY REARRANGED INTERVALS정혜영, 최승회, 윤진희pp. 7-21BIPOLAR FUZZY SET THEORY APPLIED TO SUB-SEMIGROUPS WITH OPERATORS IN SEMIGROUPS강미광, 강정기pp. 23-35TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA김영호, 김동수pp. 37-42FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FE AND F김용섭, ANVAR HASANOVpp. 43-57ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD이양희, 진선숙pp. 59-71
원문 보기