Švec, Alois Surfaces in general affine space. (English) Zbl 0683.53009 Czech. Math. J. 39(114), No. 2, 280-287 (1989). The author studies the geometry of locally strongly convex surfaces M in real affine 3-space with respect to the general affine group A. Under the assumption that the equiaffine mean curvature H is nowhere zero the equiaffine metric G(e) defines a definite pseudo-Riemannian metric \(G:=HG(e)\) which is invariant with respect to A. The author states a Theorema egregium for this metric and gives local and global characterizations of quadrics. Reviewer: U.Simon Cited in 2 Documents MSC: 53A15 Affine differential geometry Keywords:affine surfaces; affine metric; affine group; Theorema egregium; characterizations of quadrics PDFBibTeX XMLCite \textit{A. Švec}, Czech. Math. J. 39(114), No. 2, 280--287 (1989; Zbl 0683.53009) Full Text: EuDML References: [1] Affine Differentialgeometrie. Tagungsbericht 48/1986; Math. Forschungsinst. Oberwolfach. [2] Wendland W. L.: Elliptic systems in the plane. Pitman, 1979. · Zbl 0396.35001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.