Isoperimetric inequalities and conjugate points on Lorentzian surfaces
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Bahn, Hand Hong, S.: Isoperimetric inequalities for sectors on the Minkowski 2-spacetime,J. Geom., to appear.
Bandle, C.:Isoperimetric Inequalities and applications, Pitman, London, 1980.
Beem, J. K. andEhrlich, P. E.: Cut points, conjugate points and Lorentzian comparison theorems,Math. Proc. Camb. Phil. Soc. 86 (1979), 365?384.
Beem, J. K., Ehrlich, P. E. andEasley, K. L.:Global Lorentzian geometry (2nd ed.), Dekker, New York, 1996.
Birman, G. S. andNomizu, K.: Trigonometry in Lorentzian geometry,Amer. Math. Monthly 91 (1984), 543?549.
Birman, G. S. andNomizu, K.: The Gauss-Bonnet theorem for 2-dirnensional spacetimes,Michigan Math. J. 31 (1984), 77?81.
Hawking, S. W. andEllis, G. F. R.:The large scale structure of space-time, Cambridge Univ. Press, Cambridge, 1973.
O'neill, B.:Semi-Riemannian geometry with Applications to Relativity, Academic Press, New York, 1983.