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Equiaffine geometry of level sets and ruled hypersurfaces with equiaffine mean curvature zero. (English) Zbl 1364.53009

The author systematically develops the basic aspects of the equiaffine geometry of level sets and constructs the \(2n\)-dimensional equiaffine mean curvature hypersurfaces ruled by totally geodesic \(n\)-planes.

MSC:

53A15 Affine differential geometry
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