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Item Details
Title:
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TRANSFORMATION GROUPS IN DIFFERENTIAL GEOMETRY
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By: |
Shoshichi Kobayashi |
Format: |
Paperback |
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List price:
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£49.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
3540586598 |
ISBN 13: |
9783540586593 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
15 February, 1995 |
Edition: |
Reprint of the 1st ed |
Series: |
Classics in Mathematics |
Pages: |
182 |
Description: |
This text, part of the "Springer Classics in Mathematics" series, looks at transformation groups in differential geometry. |
Synopsis: |
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc- tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo- metric structures in a unified manner. In 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip 5, 6, 7 and 8. This chapter is partly based on lec- tures I gave in Tokyo and Berkeley in 1965. |
Illustrations: |
VIII, 182 p. |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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