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

Guillemin, Victor

ISBN 10: 0691085145 / ISBN 13: 9780691085142

Published by Princeton University Press, 1989

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Bibliographic Details

• Title: Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1 (Annals of Mathematics Studies, 121)
• Publisher: Princeton University Press
• Publication Date: 1989
• Language: English
• ISBN 10: 0691085145
• ISBN 13: 9780691085142
• Binding: Soft cover
• Condition: New

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Synopsis

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.