LEADER 03645nam 2200601 450 001 9910829176403321 005 20180613001302.0 010 $a1-4704-0532-6 035 $a(CKB)3360000000465110 035 $a(EBL)3114140 035 $a(SSID)ssj0000888809 035 $a(PQKBManifestationID)11530339 035 $a(PQKBTitleCode)TC0000888809 035 $a(PQKBWorkID)10876405 035 $a(PQKB)11429616 035 $a(MiAaPQ)EBC3114140 035 $a(RPAM)15511226 035 $a(PPN)195418158 035 $a(EXLCZ)993360000000465110 100 $a20150417h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCanonical Wick rotations in 3-dimensional gravity /$fRiccardo Benedetti, Francesco Bonsante 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$d©2009 215 $a1 online resource (181 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 198, Number 926 300 $a"Volume 198, Number 926 (third of 6 numbers)." 311 $a0-8218-4281-1 320 $aIncludes bibliographical references and index. 327 $a""2.1. Generalities on (X,G)-structures""""2.2. Minkowski space""; ""2.3. De Sitter space""; ""2.4. Anti de Sitter space""; ""2.5. Complex projective structures on surfaces""; ""Chapter 3. Flat globally hyperbolic spacetimes""; ""3.1. Globally hyperbolic spacetimes""; ""3.2. Cosmological time""; ""3.3. Regular domains""; ""3.4. Measured geodesic laminations on straight convex sets""; ""3.5. From measured geodesic laminations towards regular domains""; ""3.6. From regular domains towards measured geodesic laminations""; ""3.7. Initial singularities and R-trees"" 327 $a""3.8. Equivariant constructions""""Chapter 4. Flat Lorentzian vs hyperbolic geometry""; ""4.1. Hyperbolic bending cocycles""; ""4.2. The Wick rotation""; ""4.3. On the geometry of M[sub(I?»)]""; ""4.4. Equivariant theory""; ""Chapter 5. Flat vs de Sitter Lorentzian geometry""; ""5.1. Standard de Sitter spacetimes""; ""5.2. The rescaling""; ""5.3. Equivariant theory""; ""Chapter 6. Flat vs AdS Lorentzian geometry""; ""6.1. Bending in AdS space""; ""6.2. Canonical AdS rescaling""; ""6.3. Maximal globally hyperbolic AdS spacetimes""; ""6.4. Classification via AdS rescaling"" 327 $a""6.5. Equivariant rescaling""""6.6. AdS rescaling and generalized earthquakes""; ""6.7. T-symmetry""; ""6.8. Examples""; ""Chapter 7. QD-spacetimes""; ""7.1. Quadratic differentials""; ""7.2. Flat QD-spacetimes""; ""7.3. QD Wick rotation-rescaling theory""; ""Chapter 8. Complements""; ""8.1. Moving along a ray of laminations""; ""8.2. More compact Cauchy surfaces""; ""8.3. Including particles""; ""8.4. Open questions""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 198, Number 926. 606 $aThree-manifolds (Topology) 606 $aGlobal differential geometry 606 $aLow-dimensional topology 615 0$aThree-manifolds (Topology) 615 0$aGlobal differential geometry. 615 0$aLow-dimensional topology. 676 $a514.3 700 $aBenedetti$b R.$01085385 702 $aBonsante$b Francesco 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829176403321 996 $aCanonical Wick rotations in 3-dimensional gravity$94000400 997 $aUNINA