Weil-Petersson Metric on the Universal Teichmuller Space |
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| Author:
| Takhtajan-Leon, A.
Teo, Lee-Peng |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-3936-2 |
| Publication Date: | Aug 2006 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $99.00 |
Book Description:
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Proves that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ - the Hilbert submanifold $T_{{0}}(1)$ - is a topological group. This book defines Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces.
Proves that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ - the Hilbert submanifold $T_{{0}}(1)$ - is a topological group. This book defines Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces.