On the existence of local slices for the action of transformation groups on open manifolds

Assakta Khalil, Abd. Ghafur Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Conditions for an infinite dimensional topological transformation group acting transitively on a smooth open manifold to have a slice at each point were given. The results showed that for a manifold whose dimension is finite and greater than 5, the slice exists at each point of the manifold including points near the infinity, provided that the group is locally compact and the manifold is tame.

Original languageEnglish
Title of host publication2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1784
ISBN (Electronic)9780735414464
DOIs
Publication statusPublished - 17 Nov 2016
Event2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016 - Selangor, Malaysia
Duration: 13 Apr 201614 Apr 2016

Other

Other2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016
CountryMalaysia
CitySelangor
Period13/4/1614/4/16

Fingerprint

infinity

Keywords

  • non-compact manifolds.
  • slice theorem
  • Topological groups

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Khalil, A., & Ahmad, A. G. (2016). On the existence of local slices for the action of transformation groups on open manifolds. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium (Vol. 1784). [050014] American Institute of Physics Inc.. https://doi.org/10.1063/1.4966833

On the existence of local slices for the action of transformation groups on open manifolds. / Khalil, Assakta; Ahmad, Abd. Ghafur.

2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016. 050014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khalil, A & Ahmad, AG 2016, On the existence of local slices for the action of transformation groups on open manifolds. in 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. vol. 1784, 050014, American Institute of Physics Inc., 2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016, Selangor, Malaysia, 13/4/16. https://doi.org/10.1063/1.4966833
Khalil A, Ahmad AG. On the existence of local slices for the action of transformation groups on open manifolds. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784. American Institute of Physics Inc. 2016. 050014 https://doi.org/10.1063/1.4966833
Khalil, Assakta ; Ahmad, Abd. Ghafur. / On the existence of local slices for the action of transformation groups on open manifolds. 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016.
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