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Sbornik: Mathematics, 2004, Volume 195, Issue 11, Pages 1545–1556
DOI: https://doi.org/10.1070/SM2004v195n11ABEH000856
(Mi sm856)
 

Gaussian torsion of a 2-dimensional surface defined implicitly in 4-dimensional Euclidean space

Yu. A. Aminova, M. G. Szajewskab

a B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
b Institute of Mathematics, University of Bialystok
References:
Abstract: An expression is found for the Gaussian torsion of a surface $F^2$ in 4-dimensional Euclidean space $E^2$ defined implicitly by a system of two equations. An application of this formula for the intersection of two quadrics is considered as an example.
Received: 30.11.2003
Bibliographic databases:
UDC: 514
MSC: Primary 53A05; Secondary 53A07
Language: English
Original paper language: Russian
Citation: Yu. A. Aminov, M. G. Szajewska, “Gaussian torsion of a 2-dimensional surface defined implicitly in 4-dimensional Euclidean space”, Sb. Math., 195:11 (2004), 1545–1556
Citation in format AMSBIB
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\by Yu.~A.~Aminov, M.~G.~Szajewska
\paper Gaussian torsion of a 2-dimensional surface defined implicitly in 4-dimensional Euclidean space
\jour Sb. Math.
\yr 2004
\vol 195
\issue 11
\pages 1545--1556
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