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Více informací o knize Transformation Groups in Differential Geometry

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Transformation Groups in Differential Geometry
• Autor: Shoshichi Kobayashi
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 182
• EAN: 9783540586593
• ISBN: 3540586598
• ID: 01565883
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 980 g
• Rozměry: 235 × 155 × 11 mm
• Datum vydání: 15. February 1995

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