대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권2호
  • /
  • Pages.273-284
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A NULL FOCAL THEOREM ON LORENTZ MANIFOLDS

  • So, Jae-Up (DEPARTMENT OF MATHEMATICS, CHONBUK NATIONAL UNIVERSITY)
  • 발행 : 2001.05.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Let P be a spacelike (n-2)-dimensional submanifold of an n-dimensional Lorentz manifold M and let$\sigma$ be a P-normal null geodesic with Ric($\sigma',\sigma'$)$\geq$m, for the any given nonpositive constant m. We establish a sufficient condition such that there is a focal point of P along $\sigma$.

키워드

참고문헌

  1. Dekker Global Lorentzian Geometry J. K. Beem;P. E. Ehrlich;K. L. Easley
  2. Comm. Pure Appl. Math. v.34 A lower bound for the heat kernel J. Cheeger;S. T. Yau.
  3. Ann. Sci. Ecole Norm. Sup. v.11 A general comparison theorem with application to volume estimates for submanifolds E. Heintze;H. Karcher