A GENERALIZATION OF THE LORENTZIAN SPLITTING THEOREM

논문KCI 등재

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

In this paper, we obtain a generalized Lorentzian splitting theorem by weakening the assumption of nonnegative Ricci curvature.

In this paper, we obtain a generalized Lorentzian splitting theorem by weakening the assumption of nonnegative Ricci curvature.

J. Beem, "Global Lorentzian Geometry, 2nd ed." (1996), Marcel Dekker
A. Borde, "Geodesic focusing, energy conditions and singularities", Classical Quantum Gravity, 4(2), pp.343~356 (1987)
C. Chicone, "Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds", Manuscripta Math, 31(1), pp.297~316 (1980)
J.-H. Eschenburg, "The splitting theorem for space-times with strong energy condition", J. Differential Geom, 27(3), pp.477~491 (1988)
G. Galloway, "The Lorentzian splitting theorem without the completeness assumption", J. Differential Geom, 29(2), pp.373~387 (1989)
G. Galloway, "Regularity of Lorentzian Busemann Functions", Trans. Amer. Math. Soc, 348(5), pp.2063~2084 (1996)
R. P. A. C. Newman, "A proof of the splitting conjecture of S.-T. Yau", J. Differential Geom, 31(1), pp.163~184 (1990)
F. J. Tipler, "Singularities and causality violation", Ann. Physics, 108(1), pp.1~36 (1977)
S.-T. Yau, "Problem section, Seminar on Differential Geometry", Ann. of Math. Stud., 102, pp.669~706 (1982), Princeton Univ. Press