An application of the fibration theorem of Ehresmann

Andrica Dorın

doi:10.1501/Commua1_0000000510

EN

An application of the fibration theorem of Ehresmann

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

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Andrica Dorın This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

DOI

https://doi.org/10.1501/Commua1_0000000510

IZ

https://izlik.org/JA36CS65NY

Cite

RIS / Bibtex

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

1.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

Chicago

Dorın, Andrica. 1992. “An Application of the Fibration Theorem of Ehresmann”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). 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

[1]A. Dorın, “An application of the fibration theorem of Ehresmann”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 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 1, 1992). https://doi.org/10.1501/Commua1_0000000510.

JAMA

1.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, Jan. 1992, doi:10.1501/Commua1_0000000510.

Vancouver

1.Andrica Dorın. An application of the fibration theorem of Ehresmann. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000510