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

Paper | 1989 | $55.00 / £37.95
240 pp.

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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.

Other Princeton books by Victor Guillemin:

• Seminar on Micro-Local Analysis. (AM-93).
• The Spectral Theory of Toeplitz Operators. (AM-99).

Series:

• Annals of Mathematics Studies
  Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors

Subject Area:

• Mathematics

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For customers in the U.S., Canada, Latin America, Asia, and Australia
Paper: $55.00 ISBN13: 978-0-691-08514-2

For customers in Europe, Africa, the Middle East, and India
Paper: £37.95 ISBN13: 978-0-691-08514-2

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File created: 11/4/2009

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