The agenda of next meetings of Krasil'shchik's seminar on geometry of
differential equations at the Independent University of Moscow.

On 25 October seminar will be held online only.

Speaker: Yuri Sachkov
Title: Lorentzian geometry in the Lobachevsky plane
Language: English
Zoom:
https://us06web.zoom.us/j/8817121842?pwd=jqJaBCkSSDETInqBqVWhwmmTWfQ6gp.1
Zoom Passcode: 2510

Abstract:

We consider left-invariant Lorentzian problems on the group of proper
affine functions on the line. These problems have constant sectional
curvature, thus are locally isometric to standard constant curvature
Lorentzian manifolds (Minkowski space, de Sitter space, and anti-de
Sitter space).

For these problems, the attainability set is described, existence of
optimal trajectories is studied, a parameterization of Lorentzian length
maximizers is obtained, and Lorentzian distance and spheres are
described.

For zero curvature problem a global isometry into a half-plane of
Minkowski plane is constructed.


The seminar meets on Wednesday evenings at 19:20 MSK in Zoom,
Meeting ID: 88 17 12 1842
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FROM 124.14.44.*