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050 0 0 _aQA337
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_221
100 1 _aGardiner, Frederick P.
_954219
245 1 0 _aQuasiconformal Teichmüller theory /
_cFrederick P. Gardiner, Nikola Lakic.
260 _aProvidence, R.I.
_bAmerican Mathematical Society,
_cc2000.
300 _axix, 372 p. :
_bill. ;
_c27 cm.
490 1 _aMathematical surveys and monographs,
_x0076-5376 ;
_vv. 76
504 _aIncludes bibliographical references (p. 357-367) and index.
505 _aQuasiconformal mapping Riemann surfaces Quadratic differentials, Part I Quadratic differentials, Part II Teichmuller equivalence The Bers embedding Kobayashi's metric on Teichmuller space Isomorphisms and automorphisms Teichmuller uniqueness The mapping class group Jenkins-Strebel differentials Measured foliations Obstacle problems Asymptotic Teichmuller space Asymptotically extremal maps Universal Teichmuller space Substantial boundary points Earthquake mappings Bibliography Index.
520 _aThe Teichmuller space (X) s the space of marked conformal structures on a given quasi conformal surface . This volume uses quasi conformal mapping to give a unified and up-to-date treatment of (X) Emphasis is placed on parts of the theory applicable to non compact surfaces and to surfaces possibly of infinite analytic type. The book provides a treatment of deformations of complex structures on infinite Riemann surfaces and gives background for further research in many areas. These include applications to fractal geometry, to three-dimensional manifolds through its relationship to Kleinian groups, and to one-dimensional dynamics through its relationship to quasi symmetric mappings. Many research problems in the application of function theory to geometry and dynamics are suggested.
650 0 _aTeichmuller spaces.
_954220
700 1 _aLakic, Nikola,
_d1966-
_954221
830 0 _aMathematical surveys and monographs ;
_vno. 76.
_954222
942 _2lcc
_n0
_cBK
999 _c26228
_d26228