Foliations on Surfaces, Volume 41Springer Science & Business Media, 12 janv. 2001 - 450 pages Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field. |
Table des matières
II | 1 |
III | 3 |
IV | 4 |
V | 5 |
VI | 6 |
VII | 8 |
VIII | 10 |
IX | 11 |
CVIII | 242 |
CIX | 244 |
CX | 246 |
CXI | 247 |
CXIII | 251 |
CXV | 252 |
CXVI | 255 |
CXVII | 256 |
X | 14 |
XI | 15 |
XII | 17 |
XIII | 19 |
XIV | 21 |
XV | 22 |
XVII | 24 |
XVIII | 28 |
XIX | 30 |
XX | 33 |
XXI | 34 |
XXII | 37 |
XXIII | 38 |
XXIV | 42 |
XXV | 43 |
XXVII | 47 |
XXVIII | 50 |
XXIX | 52 |
XXX | 53 |
XXXII | 56 |
XXXIII | 57 |
XXXIV | 59 |
XXXV | 67 |
XXXVII | 68 |
XXXVIII | 69 |
XXXIX | 73 |
XL | 81 |
XLI | 86 |
XLIII | 94 |
XLIV | 104 |
XLV | 117 |
XLVI | 125 |
XLIX | 131 |
L | 135 |
LI | 138 |
LII | 144 |
LIII | 148 |
LIV | 155 |
LV | 156 |
LVII | 157 |
LIX | 158 |
LX | 160 |
LXI | 161 |
LXIII | 162 |
LXIV | 164 |
LXV | 165 |
LXVI | 167 |
LXVII | 169 |
LXVIII | 170 |
LXIX | 171 |
LXX | 172 |
LXXI | 175 |
LXXII | 178 |
LXXIII | 182 |
LXXV | 184 |
LXXVI | 191 |
LXXVIII | 192 |
LXXIX | 194 |
LXXX | 195 |
LXXXI | 197 |
LXXXII | 198 |
LXXXIII | 199 |
LXXXV | 200 |
LXXXVI | 202 |
LXXXVII | 203 |
LXXXIX | 206 |
XC | 207 |
XCI | 209 |
XCII | 213 |
XCIV | 215 |
XCV | 216 |
XCVII | 223 |
XCIX | 225 |
C | 227 |
CI | 230 |
CII | 232 |
CIII | 233 |
CIV | 235 |
CV | 236 |
CVI | 239 |
CVII | 241 |
CXVIII | 261 |
CXX | 263 |
CXXI | 265 |
CXXII | 270 |
CXXIII | 281 |
CXXV | 283 |
CXXVI | 288 |
CXXVIII | 291 |
CXXIX | 295 |
CXXX | 296 |
CXXXI | 297 |
CXXXII | 298 |
CXXXIII | 300 |
CXXXIV | 305 |
CXXXV | 307 |
CXXXVI | 308 |
CXXXVII | 309 |
CXXXVIII | 310 |
CXXXIX | 312 |
CXL | 313 |
CXLII | 315 |
CXLIII | 322 |
CXLIV | 324 |
CXLV | 326 |
CXLVII | 328 |
CXLVIII | 331 |
CXLIX | 334 |
CL | 335 |
CLI | 336 |
CLII | 337 |
CLIII | 341 |
CLV | 343 |
CLVI | 345 |
CLVII | 346 |
CLVIII | 348 |
CLIX | 353 |
CLX | 354 |
CLXI | 356 |
CLXII | 360 |
CLXIII | 364 |
CLXV | 365 |
CLXVI | 367 |
CLXVII | 368 |
CLXVIII | 371 |
CLXIX | 372 |
CLXX | 375 |
CLXXII | 376 |
CLXXIII | 378 |
CLXXV | 379 |
CLXXVI | 383 |
CLXXVII | 384 |
CLXXVIII | 386 |
CLXXIX | 388 |
CLXXX | 391 |
CLXXXII | 392 |
CLXXXIII | 393 |
CLXXXIV | 395 |
CLXXXV | 397 |
CLXXXVI | 399 |
CLXXXVII | 401 |
CLXXXIX | 403 |
CXC | 406 |
CXCI | 408 |
CXCII | 410 |
CXCIII | 411 |
CXCIV | 412 |
CXCVI | 413 |
CXCVII | 414 |
CXCVIII | 415 |
CXCIX | 416 |
CC | 418 |
CCI | 420 |
CCII | 421 |
CCIV | 424 |
CCV | 425 |
CCVI | 427 |
CCVII | 429 |
| 431 | |
| 447 | |
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Expressions et termes fréquents
A₁ algebra asymptotic direction boundary C*-algebra C₁ Cantor set circle S¹ closed curve compact surface complex construction contains corresponding cycles defined Definition Denote diffeomorphism disjoint endpoints equation ergodic exists finite number fixed points flow ft foliation F Fuchsian group function genus g geodesic graph holomorphic homeomorphism homotopy hyperbolic integer intersect interval exchange transformation invariant measure irrational isomorphic leaf Lemma Let F M₁ manifold mapping measured foliations metric Möbius transformation Moreover Morse-Smale foliations N₁ neighbourhood non-orientable non-trivial recurrent non-wandering normal forms obtained orbit orgraph orientable surface p₁ parameter plane Proof Proposition proved quadratic differential quasiminimal set Riemann surface rotation number saddle points segment semi-orbit semi-trajectory separatrix sequence Sing F singular points smooth Suppose surface of genus Theorem thorn topologically equivalent torus trajectories transversal curve tripod umbilical umbilical point unique vector field y₁
Fréquemment cités
Références à ce livre
Optimal Syntheses for Control Systems on 2-D Manifolds Ugo Boscain,Benedetto Piccoli Aperçu limité - 2003 |