Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GAUSS MAPS OF RULED SUBMANIFOLDS AND APPLICATIONS I

  • Jung, Sun Mi (Department of Mathematics Education Silla University) ;
  • Kim, Dong-Soo (Department of Mathematics Chonnam National University) ;
  • Kim, Young Ho (Department of Mathematics Education Kyungpook National University) ;
  • Yoon, Dae Won (Department of Mathematics Education Gyeongsang National University)
  • Received : 2015.08.18
  • Published : 2016.11.01
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Abstract

As a generalizing certain geometric property occurred on the helicoid of 3-dimensional Euclidean space regarding the Gauss map, we study ruled submanifolds in a Euclidean space with pointwise 1-type Gauss map of the first kind. In this paper, as new examples of cylindrical ruled submanifolds in Euclidean space, we construct generalized circular cylinders and characterize such ruled submanifolds and minimal ruled submanifolds of Euclidean space with pointwise 1-type Gauss map of the first kind.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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