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SUMMARY:Yuri Sachkov
DTSTART:20231025T162000Z
DTEND:20231025T180000Z
DTSTAMP:20260423T010103Z
UID:GDEq/96
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/96/">Lo
 rentzian geometry in the Lobachevsky plane</a>\nby Yuri Sachkov as part of
  Geometry of differential equations seminar\n\n\nAbstract\nWe consider lef
 t-invariant Lorentzian problems on the group of proper affine functions on
  the line. These problems have constant sectional curvature\, thus are loc
 ally isometric to standard constant curvature Lorentzian manifolds (Minkow
 ski space\, de Sitter space\, and anti-de Sitter space).\n\nFor these prob
 lems\, the attainability set is described\, existence of optimal trajector
 ies is studied\, a parameterization of Lorentzian length maximizers is obt
 ained\, and Lorentzian distance and spheres are described.\n\nFor zero cur
 vature problem a global isometry into a half-plane of Minkowski plane is c
 onstructed.\n
LOCATION:https://researchseminars.org/talk/GDEq/96/
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