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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

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.

UDC: 514.132+514.763.8

Received: 15.09.2009



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