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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm856https://doi.org/10.1070/SM2004v195n11ABEH000856 https://www.mathnet.ru/eng/sm/v195/i11/p3
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