IJPAM: Volume 116, No. 2 (2017)

Title

POLYNOMIAL CONNECTION OF GRIFONE
AND ITS ASSOCIATED LIE ALGEBRAS

Authors

H.S.G. Ravelonirina
Department of Mathematics and Computer Science
Faculty of Sciences
University of Antananarivo
Antananarivo 101, BP 906, MADAGASCAR

Abstract

The aim of our work is to study some properties of a connexion within the sense of Grifone to polynomial coefficients and certain geometrical structures of associated Lie algebras.

History

Received: 2016-10-04
Revised: 2017-06-19
Published: October 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 17B66, 17B56, 17B40, 17B70
Key Words and Phrases: Lie algebra, polynomial vector fields, connection within the sense of grifone, invariance, nullity space of the curvature

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Bibliography

1
M. Anona, Cohomologie sur une variété $L$-feuilletée, Publications du Service de Mathématiques, Université d'Antananarivo E.E.S Sciences, (1989).

2
M.F. Anona, Sur les automorphismes et cohomologies, Scott, Thèse d'Etat Es sciences Mathématiques, Université d'Antananarivo , (1990), 101 pages.

3
N. Bourbaki, Modules et anneaux semi-simples, Hermann, Paris, (1958), 189 pages.

4
T.V. Duc, La torsion de Nijenhuis et quelques applications, Thèse de Doctorat de $3^{\textrm{\\lq eme}}$ Cycle, Mathématiques Université Joseph-Fourier- Grenoble I, (1967).

5
A. Frölicher, A. Nijenhuis, Theory of vector- Valued differential forms. Proc. Kond. Ned. Akad. A. 59 (1956), 338-359.

6
R.S. Herinantenaina, H.S.G. Ravelonirina, On isotropy Lie algebras defined by an affinor. Submitted . (2015).

7
J. Klein, On Lie Algebras of vector fields defined by vector forms, Colloquia Math, Societatis Janos Bolyai, (1987).

8
A. Lichnerowicz, Algèbres de Lie attachées à un feuilletage, Ann. Fac-Sces Toulouse 1 (1979), 45-76.

9
P. Randriambololondrantomalala, H.S.G. Ravelonirina and M. Anona, Sur les algèbres de Lie des champs d'une distribution et un feuilletage généralisé, African Diaspora Journal of Mathematics. 10, Num. 2 (2010), 135-144.

10
P. Randriambololondrantomalala, H.S.G. Ravelonirina and M. Anona, Sur les algèbres de Lie associées à une connexion. Canad. Math. Bull 58(2015), 692-703.

11
H. Ratovoarimanana and H.S.G. Ravelonirina, On linear connection relating to a given curvature, International Journal of Pure and Applied Mathematics, 8, Num. 2, (2016), 135-144.

12
H.S.G. Ravelonirina, Algebraic structures of certain Lie algebras of polynomial vector fields, Annals of Pure and Applied Mathematics, Vol. 10, No.2 (2015), 273-283.

13
H.S.G. Ravelonirina, P. Randriambololondrantomalala and M. Anona, Sur les algèbres de Lie des champs de vecteurs polynomiaux, African Diaspora Journal of Mathematics, 10, Num. 2 (2010), 87-95.

How to Cite?

DOI: 10.12732/ijpam.v116i2.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 2
Pages: 299 - 312


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