On special developable ruled surfaces with pointwise 1-type Gauss map

[摘要] In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are considered. The conditions for such surfaces to have 1-type Gauss map and also to be minimal are introduced. Finally, some examples are given for the obtained results.

[学科分类] 数学（综合）

[关键词] ruled surface;Laplacian;Gauss map;minimal surface