Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1
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A01=Victor Guillemin
Author_Victor Guillemin
Automorphism
C0
Canonical form
Canonical transformation
Category=PGK
Cauchy distribution
Causal structure
Codimension
Cohomology
Compactification (mathematics)
Conformal geometry
Conformal map
Connected sum
Contact geometry
Corank
Covering space
Deformation theory
Diagram (category theory)
Diffeomorphism
Dimension (vector space)
Einstein field equations
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Equation
Existential quantification
Fibration
Floquet theory
Four-dimensional space
Fourier integral operator
Geodesic
Hamilton-Jacobi equation
Hilbert space
Holomorphic function
Hypersurface
Integral curve
Integral geometry
Integral transform
Intersection (set theory)
Lagrangian (field theory)
Lie algebra
Linear map
Maxima and minima
Minkowski space
Module (mathematics)
Parametrix
Product metric
Pseudo-differential operator
Quadratic equation
Quadratic form
Quadric
Radon transform
Riemann surface
Riemannian manifold
Seifert fiber space
Sheaf (mathematics)
Siegel domain
Submanifold
Submersion (mathematics)
Symplectic manifold
Symplectic vector space
Symplectomorphism
Tangent space
Tautology (logic)
Tensor product
Theorem
Two-dimensional space
Universal enveloping algebra
Variable (mathematics)
Vector bundle
Vector field
Verma module
Volume form
X-ray transform
Product details
- ISBN 9780691085142
- Weight: 340g
- Dimensions: 152 x 229mm
- Publication Date: 21 Mar 1989
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
