Hipotenusa: Journal of Research Mathematics Education (HJRME)
Vol 7, No 1 (2024): Hipotenusa Journal of Research Mathematics Education (HJRME)

TOTALLY NONHOLONOMIC DISTRIBUTIONS AND SUB-RIEMANNIAN STRUCTURES

Michael Makiese Kilela (University of Kinshasa)
Oscar Lungiambudila (University of Kinshasa, Faculty of Sciences, Department of Mathematics and Computer Science)
Joel Kabuya (University of Kinshasa, Faculty of Sciences, Department of Mathematics and Computer Science)
Dieumerci Matumona (University of Kinshasa, Faculty of Sciences, Department of Mathematics and Computer Science)

Article Info

Publish Date
05 Feb 2024

Abstract

In this paper, we study totally non-holonomic distributions and sub-riemannian structure on Rn (n = 1, 2, 3, 4, ...) and on the manifolds of not null curvature such as Tn  and Sn with n more or equal than 3, in order to look at this structure on a manifold like a restricting of a Riemannian metric on a totally non-holonomic distribution of this manifold. On Rn, it always possible to construct this structure thanks to her multitude of smooth distributions and vector elds. On the manifolds of not null curvature, we de ne this structure on the kernel of a non-degenerate 1-form or of contact form on this manifold.

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Journal Info
Hipotenusa: Journal of Research Mathematics Education (HJRME)
Website

Abbrev

HT

Publisher

Universitas Muhammadiyah Lampung

Subject

Education Mathematics Other

Description

Hipotenusa Journal of Research Mathematics Education (HJRME) is a peer-refereed open-access international journal which has been established for the dissemination of state-of-the-art knowledge in the field of mathematics education. This journal is founded under Department of Mathematics Education ...