文档介绍：D i Re renti a1
Geometry
and
Symmetric
Spaces
PURE AND APPLIED MATHEMATICS
A Series of Monographs and Textbooks
Edited by
PAULA. SMITHand SAMUELEILENBERG
Columbia University, New York
I: ARNOLDSOMMERFELD. Partial Differential Equations in Physics.
1949 (Lectures on Theoretical Physics, Volume VI)
11: REINHOLDBAER. Linear Algebra and Projective Geometry. 1952
111: HERBERTBUSEMANN AND PAULJ. Geometry
and Projective Metrics. 1953
IV: STEFANBERGMAN AND M. Functions and Elliptic
Differential Equations in Mathematical Physics. 1953
V: RALPHPHILIP BOAS, JR. Entire Functions. 1954
VI: HERBERTBUSEMANN. The Geometry of Geodesics. 1955
VII: CLAUDECHEVALLEY. Fundamental Concepts of Algebra. 1956
VIII: SZE-TSENHu. Homotopy Theory. 1959
IX: A. of Equations and Systems of Equations.
1960
X: J. DIEUDONN~.Foundations of Modern Analysis. 1960
XI: S. I. and Homology. 1962
XII: SIGURDURHELGASON. Differential Geometry and Symmetric
Spaces. 1962
In preparation
XIII: T. H. to the Theory of Integration.
Differential
Geometry
Symmetric
Spaces
5ig u rdu r Helgason
Department of Mathematics, Massachusetts Institute of Technology,
Cambridge, Massachusetts
1962
ACADEMIC PRESS
NEW YORK AND LONDON
COPYRIGHT0 1962, BY ACADEMICPRESS INC.
ALL RIGHTS RESERVED
NO PART OF THIS BOOK MAY BE REPRODUCED IN ANY FORM
BY PHOTOSTAT, MICROFILM OR ANY OTHER MEANS,
WITHOUT WRITTEN PERMISSION FROM THE PUBLISHERS
ACADEMIC PRESS INC.
111 FIFTHAVENUE
NEW YORK 3, N. Y.
United Kingdom Edition
Published by
ACADEMIC PRESS INC. (LONDON)LTD.
Berkeley Square House, London, IN. 1
Library of Congress Catalog Card Nztniber 62-13107
PRINTED IN THE UNITED STATES OF AMERICA
To Artie
This Page Intentionally Left Blank
PREFACE
According to its original definition, a symmetric space is a Ri