Centroaffine surfaces with degenerate center map

作者：Hu Na^*

来源：Journal of Geometry and Physics, 2013, 65: 45-54.

DOI：10.1016/j.geomphys.2012.11.007

• Center map
• Centroaffine ruled surface
• Centroaffine space curve
• Proper affine sphere

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.

• 出版日期2013-3
• 单位沈阳工业大学