Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Thurston W.P. — Geometry and topology of three-manifolds Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Geometry and topology of three-manifolds Автор: Thurston W.P. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2002 Количество страниц: 358 Добавлена в каталог: 30.10.2012 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель       179       180       180       92—96       180       209 215 -manifold      27 -orbifold      301 -foliation      see also "Foliation"       209 210 251       209 251       347 351       209       210 263       243 (G,X)-manifold      27 Accidental parabolics      257 Action, discrete orbits      175 Action, properly discontinuous      174 Action, wandering      175 Ahlfors' Theorem      180 Algebraic hyperbolic manifolds      168 Algebraic limit      225 Algebraic numbers      143 Andreev's Theorem      330 Bass, H.      143 Bending measure      189—191 Bers      111 Billiard table      298 Borromean rings      33—34 105 300 322 Borromean rings, commensurable with Whitehead link      141 Boundary mirror      301 Branched cover over a link      2 Circle packing      330 Circle packing, nerve of      330 Commensurability classes      144 Commensurability classes, infinite number of      150 Commensurable and cusp structure      142 Commensurable discrete subgroups of       140 Commensurable manifolds      140 Commensurable with complete manifolds      141 Complete, -foliation      64 Complete, (G,X)-manifold      35 Completeness criteria      36 38 41 42 Completion of a hyperbolic 3-manifold      54—56 Completion of a hyperbolic surface      41—42 Cone manifolds      55—56 Convergence, algebraic      225 Convergence, geometric      225 Convergence, strong      226 Convex      177 Convex hull      171 Convex hull, boundary      185 Convex, locally      177 Convex, locally, implies convex      177 Convex, strictly      178 Convex, strictly and homotopy equivalence      179 Corner reflectors      309 Coxeter diagram      326 Cusp, extra      216 Deformations of a 3-manifold      85 Deformations of a 3-manifold, dimension of      88 97 Deformations of a 3-manifold, extend to Dehn filling      103 Deformations of compact convex hyperbolic manifolds      178 Dehn surgery      2 see Dehn surgery, invariants      57 Developing map      35 54 185 Developing map of a (G,X)-orbifold      309 Developing map of a convex manifold      177 Developing map of an affine torus      37 Discrete      64 Domain of discontinuity      174 Domain of discontinuity, retraction onto convex hull      174 Edge equations      49—51 Elementary group      171 Elliptic, why distressing      10 Essentially complete      244 Euclidean triangles      47 Euler number for a fibration      323 Extension of a vector field      288 Extension of a vector field, Curl and Div      292 Extension of a vector field, direction derivative of      290 Fibration over an orbifold      319 323 Figure-eight knot      4—7 29—31 120 Figure-eight knot, commensurable with       149 Figure-eight knot, complete hyperbolic structure      54 Figure-eight knot, Dehn surgery on      58—61 70 Figure-eight knot, Dehn surgery on, yields hyperbolic manifold      61 Figure-eight knot, fundamental group      172 Figure-eight knot, gluing diagram      4 Figure-eight knot, incompressible surfaces in      72—83 Figure-eight knot, limit set      172 Figure-eight knot, parametrization space of complement      52 Figure-eight knot, volume of complement      164 Foliation, developing map for      63 Foliation, hyperbolic      62 64 Fricke space      92 Fuchsian group      172 192 Fundamental group, acts ergodically on       111 Gauss — Bonnet for orbifolds      312 Gehring      111 Geodesic flow, conditions for ergodicity      277 Geodesic lamination      186 200 see "Lamination" Geodesic lamination with compact support      239 Geodesic lamination, complete      196 Geodesic lamination, ending      238 Geodesic lamination, essentially complete      243 246 Geodesic lamination, measure on      207 Geodesic lamination, near a cusp      201 Geodesic lamination, realizable      208 211 214 240 Geodesic lamination, realizable, criterion for      261 Geodesic lamination, train track approximation of      204 206 210 213 Geodesies on hyperboloid      18 Geometric limit      225 Geometric structure      85 Geometric topology      225 Geometric topology and compactness      228 Geometric topology on geodesic laminations      208 Geometrically finite      180 183 Geometrically finite and cusps      182 Geometrically finite, hyperbolic 3-manifold      203 Geometrically near      118 Geometrically tame      219 221 229 Geometrically tame and algebraic convergence      259 Geometrically tame and geodesic flow      278 Geometrically tame, almost      230 240 Geometrically tame, implies topologically tame      240 Gieseking      29 Gromov      102 Gromov's invariant      123 140 Gromov's invariant for manifolds with boundary      134 Gromov's norm      123 127 Gromov's Theorem, relative version      136 Gromov's Theorem, strict version      130 Haken, 3-orbifold      321 325 Haken, manifold      71 Haken, W.      72 Hatcher      101 Heegaard decomposition      3 hilbert      10 Holonomy      35 53 85 97—100 Holonomy, defines structure      85 Horoball      39 Horocycles      40 Horospheres      38 Hyperbolic Dehn surgery theorem      104 Hyperbolic structure with nodes      346 Hyperbolic, isometries      67 Hyperbolic, line      10 13 14 Hyperbolic, metric      11 13 17 39—40 Hyperbolic, plane      10 Hyperbolic, structures on a manifold      87 Hyperboloid      17 Hyperplane      13 Hyperplane and dual point      16 19 Ideal tetrahedra      45—48 Ideal tetrahedra, parametrization of      48 Ideal tetrahedra, volume of      160 Ideal triangles      40 Identifying faces of polyhedra      3 Incompressible suborbifold      324 Incompressible surface      71 Incompressible surface and algebraic representations      143 Inner product      18 21 Intersection number      267 270 Irreducible, 3-manifold      2 Irreducible, orbifold      324 Jorgensen's Theorem      119—120 Jorgensen's Theorem, first version      116 Jorgensen, T.      61 74 228 Kleinian group      174 Kleinian group, manifold of      178 Kleinian structure      350 Knotted Y      31 Lamination      185 see Lamination on boundary of convex hull      186—187 Lamination, when isotopic to geodesic lamination      206 Law of cosines, hyperbolic      22 Law of sines, hyperbolic      25 Lickorish      2 Limit set      171 Limit set of a closed hyperbolic manifold      172 Link of a vertex      42 Link of a vertex, of an ideal tetrahedron      45—46 Links,       144 Links,       150 Links,       154 Links, having isomorphic complements      149 Lobachevsky      157 Manifold, affine      27—28 Manifold, differentiable      27 Manifold, elliptic      28—29 Manifold, hyperbolic      29 Margulis lemma      113 Measure topology on geodesic laminations      209 Measured lamination space      210 251 Metric of constant curvature and patterns of circles      338 Micky Mouse      194 Minimal set      172 Modular space      201 Mostow's Theorem      101—102 106—112 129—130 Mumford      201 nodes      346 Orbifold      300 Orbifold with boundary      308 Orbifold, bad      304 324 Orbifold, classification of 2-dimensional      312 Orbifold, covering      303 305 311 313 Orbifold, Euler number      311 Orbifold, fundamental group      307 Orbifold, good      304 310 312 Orbifold, hyperbolic structure      314—318 Pair of pants      90 Papakyriakopoulos      2 parallel      14 Pared manifolds      259 Pleated surface      see also "Uncrumpled surface" Poincare dodecahedral space      320 Prasad      102 Projective lamination space      209 210 263 Properly discontinuous action      174 Pseudo-isometry      106 Pseudogroup      27 Pythagorean theorem, hyperbolic      25 Quasi-conformal map      110 Quasi-Fuchsian group      192 215 Quasi-Fuchsian group, mapping surfaces into      194 Quasi-isometric vector field      290 Quasi-isometry      285 Rational depth      252 Reflection group      323 Riley, R.      29 74 168 Schottky group      173 Seifert fibration      64 Singular locus      302 308 Smear      127 Sphere at infinity      11 Suborbifold      308 Sufficiently large      71 Sullivan      277 Symmetry of 2-generator 3-manifold      94 Tangent space of an orbifold      318 Teichmueller space      88—92 Teichmueller space for hyperbolic orbifold      318 Teichmueller space of the boundary of a 3-manifold      97 Thick-thin decomposition      112 Thick-thin decomposition for an orbifold      346 Thick-thin decomposition, characterization of       115 Three-punctured sphere      36 Tractrix      10 Train track      205 Train track, dual      267 271 Transverse measure      189 Ultraparallel      14 Uncrumpled surface [pleated]      200 219 249 see Uncrumpled surface [pleated], realizing essentially complete lamination      249—251 Unit tangent bundle of orbifold      319—323 Visual average      285 Volume and Gromov's invariant      126—128 Volume goes down after Dehn filling      138 Volume is a continuous function      119 Volume is well-ordered      139 Volume of a straight k-simplex      124 Waldhausen      142 Whitehead link      32—33 120 Whitehead link, commensurable with Borromean rings      141 Whitehead link, volume of complement      165 Wrinkling locus      201 209 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте