Discontinuous Groups for Non-Riemannian Homogeneous Spaces
A Lie group is a group G equipped with the structure of a C∞-manifold such that the multiplication $$ G \times G \to G,\quad (x,y) \mapsto x{{y}^{{ - 1}}} $$ is a C∞ map. In the definition, C∞ can be replaced by any of C0, C1, …, Cw (real analytic), by an
- PDF / 74,812,062 Bytes
- 643 Pages / 547.087 x 685.984 pts Page_size
- 63 Downloads / 200 Views
MATHEMATICS UNLIMITED2001 AND BEYOND COLLECTOR'S EDITION· PART II
Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo
Bjorn Engquist Wilfried Schmid Editors
COLLECTOR'S
EDITION PARTII
MATHEMATICS UNLIMITED 2001
AND BEYOND With 127 Figures Including 91 Portraits and 7 Tables
\·~"'\••••r·,
Springer
71
in Colour
BJO RN E NGQUIST
WU. FRIED S CHMID
Cente r for Parallel Computers Roya l Institute of Technoiogy ( KTH ) Linds ledtsvagen 25 10044 Stoc kho lm. Sweden engquist @nada.kt h.se
Depanment of Mathe matics Ha rvard U nive rs it y Cambridge. MA 02 138-290 1. USA sc hmid @ math.harvard.edu
"d Depanment of Mathematics University o f California at Los Ange le s 3 148 Murphy Hall. 7619A MSB Los Ange le s. CA 90095~ 1555. USA engquisl@ ma th .ucla.edu
A reg ul ar edition (as a s ingle vol ume) of thi s book is available under the same title w ith the ISBN. I): 978·)·642·6) 114--6
Librnty of Congres5 Clualoging-i n·Publication Data applied for
Die Deutsche BibliOlhek - CIP·Einheit5aufnahme Mathematics un limited - 200 1 and beyond I BjOm Engq uist : Wil fried Schmid ed.Collector's ed.Berlin : Heidelberg ; New York ; Barcelona ; Hong Kong : London : Milan ; Paris: Singapore : Tokyo : Springer ~ I S BN- I ); 978-j~2-S6478-9 ISBN· I): 978·)-642--6) 114-6 001: 10.10071978-j-642·56478·9
PI. 2. - (2001 ) Mathematics Subject Classification (2000): 00-02, 0)-XX. 05-X X. II·X X. 14·XX, 34· XX. )5· XX. 46-XX. 47·XX, 49-XX, 5 1· XX. 52·XX. 53-XX , 55-XX, 57- XX. 5S·XX. 6()..XX, 65-XX, 68-XX, 7Q.XX. 7)-XX. 76-XX. SI-XX. S3- XX , 8S-XX , 9().XX. 92-XX. 94·XX
(Pans I and II as a set in 2 volumes) IS BN· 13: 978·3-642·63114-6 Springer· Verlag Berlin Heidelberg New York This work is subject to copyright. All rightS are reserved. whether the whole or part of the material is concerned. specifically the ri ghts of tran slation. repri nting. reuse of ill ustrations. recitation. broadcastin g. reproduction on microfilm or in any othe r way. and storage in data banks. Duplica tion of this publication or pans thereof is permitted only under the provisions of the Gennan Copyrigh t Law of September 9, 1965, in itscurrent version. and pennission for use mu st always be obtained from Springer- Verlag. Violations are liable for prosecution under the Gennan Copyri gh t Law. Springer-Verlag Berli n H eidelberg New York a member of Ben elsmannSpringer Science+Media Business GmbH
o Springer-Verlag Berlin Heidelberg 2001 Softcover reprint of the hardcove r 1st edit ion 200 1 The use of ge neral descri ptive names. regJStered names. trade marks, etc. in this publication does not impl y. even in the absence of a speci fi c stat ement. that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Production details are found It the end of the book Printed on acid-free paper SPIN 10758493 461) 142Ko - 5 4 3 2 I 0
Preface Ein neues Lied, ein besseres Lied, o Freunde, will ich Euch dichten! *
A new song, a better song, My friends, I intend to com
