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Modern Differential Geometry in Gauge Theories, Maxwell Fields, Volume I (Progress in Mathematical Physics) (Anastasios Mallios, e A. Anastassiou).pdf

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Modern Differential Geometry in Gauge Theories, Maxwell Fields, Volume I (Progress in Mathematical Physics) (Anastasios Mallios, e A. Anastassiou).pdf

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Modern Differential Geometry in Gauge Theories, Maxwell Fields, Volume I (Progress in Mathematical Physics) (Anastasios Mallios, e A. Anastassiou).pdf

文档介绍

文档介绍:Anastasios Mallios
Modern Differential Geometry
in Gauge Theories
Maxwell Fields, Volume I
Birkhauser¨
Boston • Basel • Berlin
Anastasios Mallios
University of Athens Panepistimioupolis
Department of Mathematics
GR-157 84, Athens
Greece
Cover design by Mary Burgess.
Mathematics Subject Classification (2000): 53C05, 53C07, 53C80, 18F20, 53D50, 53Z05, 55N30,
19M05, 58A40, 58D27, 58D30, 58K99, 58Z05, 58E15, 81Q70, 81P99, 81T13, 83C45, 83C47, 16D10,
16D40, 16E99, 58C99, 55R05
Library of Congress Control Number: 2005043605
ISBN-10 0-8176-4378-8 e-ISBN 0-8176-4474-1
ISBN-13 978-0-8176-4378-2
Modern Differential Geometry in Gauge Theories:
Yang–Mills Fields, Volume II ISBN 0-8176-4379-6
Modern Differential Geometry in Gauge Theories:
Volumes I + II (Set) ISBN 0-8176-4476-8
Printed on acid-free paper.
c 2006 Birkhauser¨ Boston
All rights reserved. This work may not be translated or copied in whole or in part without the writ-
ten permission of the publisher (Birkhauser¨ Boston, c/o Springer Science+Business Media Inc., 233
Spring Street, New York, NY 10013, USA) and the author, except for brief excerpts in connection
with reviews or scholarly analysis. Use in connection with any form of information storage and re-
trieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known
or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.
Printed in the United States of America. (TXQ/SB)
987654321
Contents
General Preface .................................................. ix
Preface to Volume I ............................................... xi
Acknowledgements ............................................... xv
Part I Maxwell Fields: General Theory
1 The Rudiments of Abstract Different