Article ID Journal Published Year Pages File Type
1893566 Journal of Geometry and Physics 2013 10 Pages PDF
Abstract

We study and classify the centroaffine surfaces with degenerate center map. The centroaffine surface with definite induced centroaffine metric has degenerate center map if and only if it is a proper affine sphere. In particular, we investigate the degenerate center map of the centroaffine ruled surfaces and consider its relationship with the centroaffine space curve.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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