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An application of the fibration theorem of Ehresmann

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

Andrica Dorın

https://doi.org/10.1501/Commua1_0000000510

Abstract

The main purpose of the paper is to prove that the map (7) and also its restriction to GL+ (n, IR) is a locaily trivial fibration.
From the general theory of fiber bundles we know th a t a bu.ndle map between two C “ -differentiable manifolds is a surjeetive submersion.
Here arise a natural problem: given M and N two C00— differentiable manifolds and f: M -> N a smooth surjeetive submersion, find suffi- cient conditions in order th a t f be a locaily trivial fibration. A such condition is given by:

Keywords

application fibration Ehresmann

References

  • Communications, Series A1:Mathematics and Statistics

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

Andrica Dorın

https://doi.org/10.1501/Commua1_0000000510

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Andrica Dorın This is me

Publication Date January 1, 1992
Submission Date January 1, 1992
Published in Issue Year 1992 Volume: 41

Cite

APA Dorın, A. (1992). An application of the fibration theorem of Ehresmann. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000510
AMA Dorın A. An application of the fibration theorem of Ehresmann. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1992;41. doi:10.1501/Commua1_0000000510
Chicago Dorın, Andrica. “An Application of the Fibration Theorem of Ehresmann”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41, January (January 1992). https://doi.org/10.1501/Commua1_0000000510.
EndNote Dorın A (January 1, 1992) An application of the fibration theorem of Ehresmann. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE A. Dorın, “An application of the fibration theorem of Ehresmann”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, 1992, doi: 10.1501/Commua1_0000000510.
ISNAD Dorın, Andrica. “An Application of the Fibration Theorem of Ehresmann”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1992). https://doi.org/10.1501/Commua1_0000000510.
JAMA Dorın A. An application of the fibration theorem of Ehresmann. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000510.
MLA Dorın, Andrica. “An Application of the Fibration Theorem of Ehresmann”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, 1992, doi:10.1501/Commua1_0000000510.
Vancouver Dorın A. An application of the fibration theorem of Ehresmann. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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