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UID:20250918T185037EDT-9686ebjulu@132.216.98.100
DTSTAMP:20250918T225037Z
DESCRIPTION:\n	The Department of Mathematics and Statistics invites you to a
 ttend the Ph.D. Oral Defense of Mr. Omid Makhmali\n\nTHESIS TITLE:\n	Differ
 ential geometric aspects of causal structures\n	\n	ABSTRACT\n	This thesis is 
 concerned with causal structures\, which are defined as a field of tangent
 ially nondegenerate\n	projective hypersurfaces in the projectivized tangent
  bundle of a manifold. The local equivalence problem\n	of causal structures
  on manifolds of dimension at least four is solved using Cartan’s method o
 f equivalence\,\n	leading to an {e}-structure over some principal bundle. I
 t is shown that these structures correspond to\n	parabolic geometries of ty
 pe (Dn\,P1\,2) or (Bn\,P1\,2) when n ≥ 4 or (D3\,P1\,2\,3). The essential 
 local invariants\n	are determined and interpreted geometrically. Several sp
 ecial classes of causal structures are considered\n	including those that ar
 e a lift of pseudo-conformal structures and those referred to as conformal
 ly flat causal\n	structures. A rigidity theorem for conformally flat causal
  structures over compact manifolds is obtained. A\n	notion of half-flatness
  is defined for four dimensional causal structures whose null cones are ru
 led projective\n	surfaces\, which generalizes the notion of half-flat confo
 rmal structures of split signature. A twistorial\n	construction for conform
 ally flat causal structures and half-flat causal structures is given.\n	\n	C
 OMMITTEE MEMBERS\n\nDEPUTY CHAIR:\n	Jacques Hurtubise\, Professor\, Mathema
 tics and Statistics\, 9IÖÆ×÷³§Ãâ·Ñ \n	\n	SUPERVISOR:\n	Niky Kamran\, Pro
 fessor\, Mathematics and Statistics\, 9IÖÆ×÷³§Ãâ·Ñ\n	\n	INTERNAL EXAMIN
 ER:\n	John Toth\, Professor\, Mathematics and Statistics\, 9IÖÆ×÷³§Ãâ·Ñ Universit
 y\n	\n	INTERNAL MEMBER:\n	Gantumur Tsogtgerel\, Associate Professor\, Mathema
 tics and Statistics\, 9IÖÆ×÷³§Ãâ·Ñ\n	\n	EXTERNAL MEMBER:\n	Keshav Dasgup
 ta\, Associate Professor\, Physics\, 9IÖÆ×÷³§Ãâ·Ñ\n\n \n
DTSTART:20161123T064500Z
DTEND:20161123T084500Z
LOCATION:Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke 
 Ouest
SUMMARY:Ph.D. Oral Defense - Omid Makhmali
URL:/mathstat/channels/event/phd-oral-defense-omid-mak
 hmali-264128
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