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

Yu. A. Aminov^a, M. G. Szajewska<sup>b

a</sup> 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.

UDC: 514

MSC: Primary 53A05; Secondary 53A07

Received: 30.11.2003

DOI: 10.4213/sm856

 English version: Sbornik: Mathematics, 2004, 195:11, 1545–1556

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