본문 바로가기
KERD
논문KCI 등재

EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES

2

조회

0

다운로드

3

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we study the geometry of Einstein half lightlike submanifolds M of a semi-Riemannian space form ¯M (c) subject to the conditions: (a) M is screen conformal, and (b) the coscreen distribution of M is a conformal Killing one. The main result is a classification theorem for screen conformal Einstein half lightlike submanifolds of a Lorentzian space form with a conformal Killing coscreen distribution.

Abstract

In this paper, we study the geometry of Einstein half lightlike submanifolds M of a semi-Riemannian space form ¯M (c) subject to the conditions: (a) M is screen conformal, and (b) the coscreen distribution of M is a conformal Killing one. The main result is a classification theorem for screen conformal Einstein half lightlike submanifolds of a Lorentzian space form with a conformal Killing coscreen distribution.

참고문헌 (15)

  1. C. Atindogbe, "Conformal screen on lightlike hypersurfaces", Int. J. Pure Appl. Math, 11(4), pp.421~442 (2004)
  2. J. K. Beem, "Global Lorentzian Geometry, Second Edition" (1996), Marcel Dekker, Inc
  3. B. Y. Chen, "Geometry of Submanifolds" (1973), Marcel Dekker
  4. K. L. Duggal, "Lightlike submanifolds of codimension two", Math. J. Toyama Univ, 15, pp.59~82 (1992)
  5. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  6. K. L. Duggal, "Half-lightlike submanifolds of codimension two", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  7. A. Fialkow, "Hypersurfaces of a space of constant curvature", Ann. of Math. (2), 39(4), pp.762~785 (1938)
  8. S. G. Harris, "A triangle comparison theorem for Lorentz manifolds", Indiana Univ. Math. J, 31(3), pp.289~308 (1982)
  9. 진대호, "EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION", 호남수학학술지, 30(3), pp.487~504 (2008), 호남수학회
  10. 진대호, "A CHARACTERIZATION OF SCREEN CONFORMAL HALF LIGHTLIKE SUBMANIFOLDS", 호남수학학술지, 31(1), pp.17~23 (2009), 호남수학회
  11. D. N. Kupeli, "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
  12. B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
  13. G. de Rham, "Sur la r´eductibilit´e d’un espace de Riemannian", Comment. Math. Helv, 26, pp.328~344 (1952)
  14. T. Y. Thomas, "On closed spaces of constant mean curvature", Amer. J. Math, 58(4), pp.702~704 (1936)
  15. K. Yano, "Differential Geometry on Complex and Almost Complex Spaces" (1965), The Macmil- lan Company

관련 논문AI추천

이 간행물의 다른 논문 (18건)