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035   $a(DE-B1597)9781400882410
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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aCosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 /$fVictor Guillemin
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1989
215   $a1 online resource (236 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v352
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08514-5 
311   $a0-691-08513-7 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tContents -- $tForeword -- $tPart I. A relativistic approach to Zoll phenomena -- $tPart II. The general theory of Zollfrei deformations -- $tPart III. Zollfrei deformations of M2,1 -- $tPart IV. The generalized x-ray transform -- $tPart V. The Floquet theory -- $tBibliography
330   $aThe subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floquet operator," invented by Paneitz and Segal.
410  0$aAnnals of mathematics studies ;$vno. 121.
606   $aCosmology$xMathematical models
606   $aGeometry, Differential
606   $aLorentz transformations
610   $aAutomorphism.
610   $aBijection.
610   $aC0.
610   $aCanonical form.
610   $aCanonical transformation.
610   $aCauchy distribution.
610   $aCausal structure.
610   $aCayley transform.
610   $aCodimension.
610   $aCohomology.
610   $aCokernel.
610   $aCompactification (mathematics).
610   $aComplexification (Lie group).
610   $aComputation.
610   $aConformal geometry.
610   $aConformal map.
610   $aConformal symmetry.
610   $aConnected sum.
610   $aContact geometry.
610   $aCorank.
610   $aCovariant derivative.
610   $aCovering space.
610   $aDeformation theory.
610   $aDiagram (category theory).
610   $aDiffeomorphism.
610   $aDifferentiable manifold.
610   $aDifferential operator.
610   $aDimension (vector space).
610   $aEinstein field equations.
610   $aEquation.
610   $aEuler characteristic.
610   $aExistential quantification.
610   $aFiber bundle.
610   $aFibration.
610   $aFloquet theory.
610   $aFour-dimensional space.
610   $aFourier integral operator.
610   $aFourier transform.
610   $aFundamental group.
610   $aGeodesic.
610   $aHamilton?Jacobi equation.
610   $aHilbert space.
610   $aHolomorphic function.
610   $aHolomorphic vector bundle.
610   $aHyperfunction.
610   $aHypersurface.
610   $aIntegral curve.
610   $aIntegral geometry.
610   $aIntegral transform.
610   $aIntersection (set theory).
610   $aInvertible matrix.
610   $aK-finite.
610   $aLagrangian (field theory).
610   $aLie algebra.
610   $aLight cone.
610   $aLinear map.
610   $aManifold.
610   $aMaxima and minima.
610   $aMinkowski space.
610   $aModule (mathematics).
610   $aNotation.
610   $aOne-parameter group.
610   $aParametrix.
610   $aParametrization.
610   $aPrincipal bundle.
610   $aProduct metric.
610   $aPseudo-differential operator.
610   $aQuadratic equation.
610   $aQuadratic form.
610   $aQuadric.
610   $aRadon transform.
610   $aRiemann surface.
610   $aRiemannian manifold.
610   $aSeifert fiber space.
610   $aSheaf (mathematics).
610   $aSiegel domain.
610   $aSimply connected space.
610   $aSubmanifold.
610   $aSubmersion (mathematics).
610   $aSupport (mathematics).
610   $aSurjective function.
610   $aSymplectic manifold.
610   $aSymplectic vector space.
610   $aSymplectomorphism.
610   $aTangent space.
610   $aTautology (logic).
610   $aTensor product.
610   $aTheorem.
610   $aTopological space.
610   $aTopology.
610   $aTwo-dimensional space.
610   $aUnit vector.
610   $aUniversal enveloping algebra.
610   $aVariable (mathematics).
610   $aVector bundle.
610   $aVector field.
610   $aVector space.
610   $aVerma module.
610   $aVolume form.
610   $aX-ray transform.
615  0$aCosmology$xMathematical models.
615  0$aGeometry, Differential.
615  0$aLorentz transformations.
676   $a523.1/072/4
700   $aGuillemin$b Victor, $040563
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154746903321
996   $aCosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121$92788032
997   $aUNINA