An introduction to spherical orbit spaces
Consider a compact, connected Lie group G acting isometrically on a sphere Sn of radius 1. Two-dimensional quotient spaces of the type Sn/G have been investigated extensively. This paper provides an elementary introduction, for nonspecialists, to this important field by way of several classical exa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012115 |
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| _version_ | 1832549083124858880 |
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| author | Jill Mcgowan Catherine Searle |
| author_facet | Jill Mcgowan Catherine Searle |
| author_sort | Jill Mcgowan |
| collection | DOAJ |
| description | Consider a compact, connected Lie group G acting isometrically on a sphere Sn of radius 1. Two-dimensional quotient spaces of the type Sn/G have been investigated extensively. This paper provides an elementary introduction, for nonspecialists, to this important field by way of several classical examples and supplies an explicit list of all the isotropy subgroups involved in these examples. |
| format | Article |
| id | doaj-art-2c4df8581a874a2ba563414ffb66c9f0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2c4df8581a874a2ba563414ffb66c9f02025-02-03T06:12:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132845346910.1155/S0161171202012115An introduction to spherical orbit spacesJill Mcgowan0Catherine Searle1Department of Mathematics, Howard University, Washington, DC 20059, USAInstituto de Mathemáticas de la UNAM, Unidad Cuernavaca, Avenida Universidad S/N, Colonia lo Mas de Chamilpa, Cuernavaca, Morelos 62210, MexicoConsider a compact, connected Lie group G acting isometrically on a sphere Sn of radius 1. Two-dimensional quotient spaces of the type Sn/G have been investigated extensively. This paper provides an elementary introduction, for nonspecialists, to this important field by way of several classical examples and supplies an explicit list of all the isotropy subgroups involved in these examples.http://dx.doi.org/10.1155/S0161171202012115 |
| spellingShingle | Jill Mcgowan Catherine Searle An introduction to spherical orbit spaces International Journal of Mathematics and Mathematical Sciences |
| title | An introduction to spherical orbit spaces |
| title_full | An introduction to spherical orbit spaces |
| title_fullStr | An introduction to spherical orbit spaces |
| title_full_unstemmed | An introduction to spherical orbit spaces |
| title_short | An introduction to spherical orbit spaces |
| title_sort | introduction to spherical orbit spaces |
| url | http://dx.doi.org/10.1155/S0161171202012115 |
| work_keys_str_mv | AT jillmcgowan anintroductiontosphericalorbitspaces AT catherinesearle anintroductiontosphericalorbitspaces AT jillmcgowan introductiontosphericalorbitspaces AT catherinesearle introductiontosphericalorbitspaces |