Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Supervisors info:
Λάππας Δ. Αναπλ. Καθηγ. (Επιβλέπων),Μελάς Α. Καθηγ., Ανδρουλιδάκης Επικ. Καθηγ.
Original Title:
Αιτιακές και τοπολογικές δομές σε καμπύλους χωροχρόνους
Summary:
The thesis aim on presenting the causul and topological structures that can
been defined above a semiriemannian manifold and the interrelation among them.
In the first chapter the case of Minkowski space is studied and the Zeeman
theorem for causal aytomorphism is proven. In the second chapter, after the
standard properties of semiriemannian geometry is given, the hierarchy of
causal structure is studied explicitly. Special attention is paid on the notion
of global hyperbolicity. In the third chapter the central statements of this
theses is presented, the theorems due to D. Malament and S. Hawking that permit
the reduction of the one structure to the other.
Keywords:
Semiriemann Geometry, Causal structure, General Relativity, Causal automorphism, Global hyperbolicity
