Abstract
The notion of pointwise $1$-type Gauss map was derived from the ordinary finite type Gauss map and it gives an interesting geometric properties on surfaces of $3$-dimensional Euclidean space. In particular, the helicoid and the right cone of $3$-dimensional Euclidean space are characterized by pointwise $1$-type Gauss map. Inspired by such a study, in this paper, we completely classify ruled submanifolds of Euclidean space with pointwise $1$-type Gauss map.
Citation
Dong-Soo Kim. Young Ho Kim. Sun Mi Jung. Dae Won Yoon. "Gauss Maps of Ruled Submanifolds and Applications II." Taiwanese J. Math. 20 (1) 227 - 242, 2016. https://doi.org/10.11650/tjm.20.2016.5635
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