Transformation Groups: In Differential Geometry (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, Bd. 70)

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9780387058481: Transformation Groups: In Differential Geometry (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, Bd. 70)
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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.

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About the Author:

Shoshichi Kobayashi is now Professor in the Graduate School at the University of California, Berkeley.

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9783540586593: Transformation Groups in Differential Geometry (Classics in Mathematics)

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ISBN 10:  3540586598 ISBN 13:  9783540586593
Publisher: Springer, 1995
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9783540058489: Transformation Groups in Differential Geometry (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

Springer, 1972
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9780387586595: Transformation Groups in Differential Geometry (Classics in Mathematics)

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Shoshichi Kobayashi
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Book Description Springer-Verlag, 1972. Hardcover. First Edition. 8vo. 182 pp. Yellow cloth. Book condition: Very Good. Spine sunned, mild wear to boards. Seller Inventory # x01333

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