Basic Forms and Orbit Spaces: a Diffeological Approach
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Basic Forms and Orbit Spaces: a Diffeological Approach
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| Creator |
Karshon, Y.
Watts, J. |
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| Description |
If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that this result remains true for actions that are not necessarily free nor proper, as long as the identity component acts properly, where on the quotient space we take differential forms in the diffeological sense.
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| Date |
2019-02-15T18:43:13Z
2019-02-15T18:43:13Z 2016 |
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| Type |
Article
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| Identifier |
Basic Forms and Orbit Spaces: a Diffeological Approach / Y. Karshon, J. Watts // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58D19; 57R99 DOI:10.3842/SIGMA.2016.026 http://dspace.nbuv.gov.ua/handle/123456789/147723 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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