Centroaffine ruled surfaces in R-3

作者:Yu Yanhua; Yang Yun; Liu Huili*
来源:Journal of Mathematical Analysis and Applications, 2010, 365(2): 683-693.
DOI:10.1016/j.jmaa.2009.12.001

摘要

Solving certain partial differential equations we obtain some classification results for linear Weingarten centroaffine ruled surfaces in 3-affine space R-3 and prove that a non-degenerate centroaffine ruled surface is centroaffine minimal if and only if its Gauss curvature is constant.