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020 | _a0821819836 (alk. paper) | ||
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_aQA337 _b.G234 2000 |
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_a515/.93 _221 |
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_aGardiner, Frederick P. _954219 |
|
245 | 1 | 0 |
_aQuasiconformal Teichmüller theory / _cFrederick P. Gardiner, Nikola Lakic. |
260 |
_aProvidence, R.I. _bAmerican Mathematical Society, _cc2000. |
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300 |
_axix, 372 p. : _bill. ; _c27 cm. |
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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 |
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700 | 1 |
_aLakic, Nikola, _d1966- _954221 |
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830 | 0 |
_aMathematical surveys and monographs ; _vno. 76. _954222 |
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