Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Basic Forms and Orbit Spaces: a Diffeological Approach
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Basic Forms and Orbit Spaces: a Diffeological Approach
Інший ID:
2010 Mathematics Subject Classification: 58D19; 57R99
DOI:10.3842/SIGMA.2016.026
DOI:10.3842/SIGMA.2016.026
Посилання:
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.
Підтримка:
This work is partially supported by the Natural Sciences and Engineering Council of Canada. We
are grateful to Patrick Iglesias-Zemmour for instructing us on dif feology and to Reyer Sjamaar
for his inspiration, as well as to the anonymous referees for excellent suggestions that lead to
a better organisation of the paper.
Дата:
2016
Переглядів:
678
Завантажень:
446
Анотація:
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.
