MSC in Mathematics, Pure Mathematics, Elective Course


 Geometry and Physics


 Dr. Balázs Csikós (associate professor)

 Dr. Gyula Lakos (assistant)

 Dr. Gábor Moussong (assistant professor)

 Dr. László Verhóczki (associate professor)




 4th semester


The results of modern differential geometry applied in the global geometry of space-time:

Basic facts from Lorentzian geometry. Causality relations in space-time. Theory of singularities. The Hawking and Penrose singularities. Event horizons. The Hawking-Penrose properties of event horizons. Analytical properties of event horizons (results of Chrusciel, Galloway, and others).


J. K. Beem – P. E. Ehrlich – K. L. Easley: Global Lorentzian geometry. 2nd ed. Marcel Dekker, New York, 1996.

S. W. Hawking – G. F. R. Ellis: The large scale structure of space-time. Cambridge University Press, Cambridge, 1973.

B. O’Neill: Semi-Riemannian geometry. Academic Press, New York, 1983.

form of tuition

Two hours of lecture per week.

mode of assessment

 oral exam