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

Buch 117 von 202: Annals of Mathematics Studies

Victor W. Guillemin

 
9780691085142: Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121) (Annals of Mathematics Studies)

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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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Victor Guillemin

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9780691085135: Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1 (Annals of Mathematics Studies, 121)

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ISBN 10:  0691085137 ISBN 13:  9780691085135
Verlag: Princeton University Press, 1989
Hardcover