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Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, Volume 151, Book 4, Pages 54–59 (Mi uzku766)  

On Metric Equivalence of Functions on the Lobachevski Plane

N. G. Konovenkoa, V. V. Lychaginb

a Odessa State Academy of Food Technology
b University of Tromsø, Tromsø, Norway

Abstract: We find necessary and sufficient conditions for functions to be equivalent with respect to the isometry group of the Lobachevski plane.

Keywords: differential invariants, invariant derivations, Lobachevski plane, isometry.

Full text: PDF file (188 kB)
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UDC: 514.132+514.763.8
Received: 15.09.2009

Citation: N. G. Konovenko, V. V. Lychagin, “On Metric Equivalence of Functions on the Lobachevski Plane”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 54–59

Citation in format AMSBIB
\Bibitem{KonLyc09}
\by N.~G.~Konovenko, V.~V.~Lychagin
\paper On Metric Equivalence of Functions on the Lobachevski Plane
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 4
\pages 54--59
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku766}


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