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Titlebook: Transformation Groups in Differential Geometry; Shoshichi Kobayashi Book 1995 Springer-Verlag Berlin Heidelberg 1995 Lie group.automorphis

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书目名称Transformation Groups in Differential Geometry
编辑Shoshichi Kobayashi
视频video
丛书名称Classics in Mathematics
图书封面Titlebook: Transformation Groups in Differential Geometry;  Shoshichi Kobayashi Book 1995 Springer-Verlag Berlin Heidelberg 1995 Lie group.automorphis
描述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.
出版日期Book 1995
关键词Lie group; automorphism; differential geometry; transformation group
版次1
doihttps://doi.org/10.1007/978-3-642-61981-6
isbn_softcover978-3-540-58659-3
isbn_ebook978-3-642-61981-6Series ISSN 1431-0821 Series E-ISSN 2512-5257
issn_series 1431-0821
copyrightSpringer-Verlag Berlin Heidelberg 1995
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