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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 177–188 (Mi semr97)  
This article is cited in 3 scientific papers (total in 3 papers)

Research papers

Geodesics in the Heisenberg group: an elementary approach

G. A. Noskovab

a Fakultat für Mathematik, Universtät Bielefeld, Bielefeld, Germany
b Sobolev Institute of Mathematics, Omsk, Russia
Full-text PDF (225 kB) Citations (3)
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Abstract: We derive in an elementary way the shape of geodesics of the left invariant Carnot–Caratheodory–Finsler metrics on the Heisenberg group. The only existing proof of this result was given by V. N. Berestovskii, using the Pontryagin maximum principle.
Keywords: Heisenberg group, geodesic, Isoperimetric Problem.
Received October 9, 2006, published April 8, 2008
Bibliographic databases:
Document Type: Article
UDC: 514.15, 512.7
MSC: 20F65
Language: English
Citation: G. A. Noskov, “Geodesics in the Heisenberg group: an elementary approach”, Sib. Èlektron. Mat. Izv., 5 (2008), 177–188
Citation in format AMSBIB
\Bibitem{Nos08}
\by G.~A.~Noskov
\paper Geodesics in the Heisenberg group: an elementary approach
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 177--188
\mathnet{http://mi.mathnet.ru/semr97}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586628}
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