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

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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 (Annals of Mathematics Studies, 121) image
ISBN-10:

0691085137

ISBN-13:

9780691085135

Author(s): Guillemin, Victor
Edition: y First edition
Released: Apr 21, 1989
Publisher: Princeton University Press
Format: Hardcover, 240 pages
Related ISBN: 9780691085142
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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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