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On some geometric characteristics of the orbit foliations of the co-adjoint action of some 5-dimensional solvable Lie groups

Vu Anh Le 1, *
Tuan Anh Nguyen 2
Hoa Quang Duong 3
  1. University of Economics and Law, VNU HCM
  2. University of Physical Education and Sports, Ho Chi Minh city
  3. Hoa Sen University, Ho Chi Minh city
Correspondence to: Vu Anh Le, University of Economics and Law, VNU HCM. Email: pvphuc@vnuhcm.edu.vn.
Volume & Issue: Vol. 18 No. 2 (2015) | Page No.: 114-122 | DOI: 10.32508/stdj.v18i2.1081
Published: 2015-06-30

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

In this paper, we discribe some geometric charateristics of the so-called MD(5,3C)-foliations and MD(5,4)- foliations, i.e., the foliations formed by the generic orbits of co-adjoint action of MD(5,3C)-groups and MD(5,4)-groups.

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