ON THE ISOMETRIC IMMERSION OF THE LORENTZ-HEISENBERG GROUP H3 IN EUCLIDEAN SPACE ℝ4

BOUDAOUD, FATIMA and KAID, RACHIDA (2016) ON THE ISOMETRIC IMMERSION OF THE LORENTZ-HEISENBERG GROUP H3 IN EUCLIDEAN SPACE ℝ4. Asian Journal of Mathematics and Computer Research, 13 (1). pp. 16-21.

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Abstract

In this work we developed a geometric approach to solve the problem of an isometric immersion of the Lorentzian Heisenberg space H3 in the Euclidean space of dimension n. The Lorentzian Heisenberg space H3 can be seen as the space ℝ3 endowed with a left Lorentzian metric, then we use a geometric approach to show that the Heisenberg group cannot be formed as a submanifold of the Euclidean space of dimension 4 see [1].

Item Type: Article
Subjects: Archive Digital > Mathematical Science
Depositing User: Unnamed user with email support@archivedigit.com
Date Deposited: 28 Dec 2023 04:58
Last Modified: 28 Dec 2023 04:58
URI: http://eprints.ditdo.in/id/eprint/1878

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