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Compact connected Lie transformation groups on spheres with low cohomogeneity. II /

The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Straume, Eldar, 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 1997.
Colección:Memoirs of the American Mathematical Society ; no. 595.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Straume, Eldar,  |d 1946-  |1 https://id.oclc.org/worldcat/entity/E39PCjrwp9jdphqvfqqg4Y3B4C 
245 1 0 |a Compact connected Lie transformation groups on spheres with low cohomogeneity.  |n II /  |c Eldar Straume. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 1997. 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 595 
500 |a Continues: Compact connected Lie transformation groups on spheres with low cohomogeneity, I. 1996. 
500 |a "January 1997, volume 125, number 595 (first of 5 numbers)." 
504 |a Includes bibliographical references (pages 74-75). 
505 0 0 |t Introduction --  |t Organization of orthogonal models and orbit structures --  |t Orbit structures for [italic capital]G-spheres of cohomogeneity two --  |t The reconstruction problem --  |t [italic capital]G-spheres of cohomogeneity two with at most two isolated orbits --  |t [italic capital]G-spheres of cohomogeneity two with three isolated orbits. 
520 |a The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c [less than or equal to symbol] 2, and the main results are summarized in five theorems, A, B, C, D, and E in part I. This paper is part II of the project, and addresses theorems D and E.D examines the orthogonal model from theorem A and orbit structures, while theorem E addresses the existence of "exotic" [italic capital]G-spheres 
588 0 |a Print version record. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Topological transformation groups. 
650 0 |a Homology theory. 
650 0 |a Orthogonalization methods. 
650 6 |a Groupes topologiques de transformation. 
650 6 |a Homologie. 
650 6 |a Méthodes d'orthogonalisation. 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Orthogonalization methods  |2 fast 
650 7 |a Homology theory  |2 fast 
650 7 |a Topological transformation groups  |2 fast 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 595.  |x 0065-9266 
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