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

Victor Guillemin

ISBN 10: 0691085145 / ISBN 13: 9780691085142

Editore: Princeton University Press, US, 1989

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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.

Codice articolo LU-9780691085142

Dati bibliografici

• Titolo: Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1
• Editore: Princeton University Press, US
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 0691085145
• ISBN 13: 9780691085142
• Rilegatura: Paperback
• Condizione: New

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Riassunto

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.