ENGLISH

Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121

By Victor Guillemin

Book information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882410
DOI
10.1515/9781400882410
Language
english
Format
PDF
Filesize
10 MB (10524001 bytes)
Series
Annals of Mathematics Studies; 121
Pages
240\235
Library
degruyter.com
Time added
2023-08-24 15:59:02

Description

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.

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