Journal of applied mathematics & informatics

  • 제7권1호
  • /
  • Pages.297-303
  • /
  • 2000
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

CONFORMALLY FLAT WARPED PRODUCT RIEMANNIAN MANIFOLDS

  • 발행 : 2000.01.01

⟨ 이전 논문 다음 논문 ⟩

초록

We investigate the conformally flat warped product manifolds and study the geometric structure of the base space and each fibre. Moreover we find the conditions that the base space and each fibres to be the space of constant curvatures.

키워드

참고문헌

  1. Trans. Amer. Math. Soc. v.145 Manifolds of negative curvature R.L.Bishop;B.O'Neill
  2. Geometry of submanifolds B.Y. Chen
  3. Proc. Japan Acad v.71 Warped products with critical Riemannian metric B.H. Kim
  4. Semi-Riemannian geometry with application to relativity B. O'Neill