한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제19권1호
  • /
  • Pages.1-5
  • /
  • 2012
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지
DOI QR코드

DOI QR Code

SURFACES OF REVOLUTION WITH MORE THAN ONE AXIS

  • Kim, Dong-Soo (Department of Mathematics, Chonnam National University) ;
  • Kim, Young-Ho (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • 투고 : 2011.09.01
  • 심사 : 2012.01.21
  • 발행 : 2012.02.28
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We study surfaces of revolution in the three dimensional Euclidean space $\mathbb{R}^3$ with two distinct axes of revolution. As a result, we prove that if a connected surface in the three dimensional Euclidean space $\mathbb{R}^3$ admits two distinct axes of revolution, then it is either a sphere or a plane.

키워드

참고문헌

  1. Hilbert, D. & Cohn-Vossen, S.: Geometry and the imagination, Translated by P. Nemenyi. Chelsea Publishing Company, New York, N. Y., 1952.
  2. Kim, Y. H.: Characterization of generalized surfaces of revolution. Nihonkai Math. J. 2 (1991), 63-69.
  3. O'Neill, B.: Elementary diffenrential geometry, 2nd edition. Academic Press, 1997.