# SOME CLASSIFICATIONS OF RULED SUBMANIFOLDS

• Kim, Dong-Soo (Department of Mathematics Chonnam National University) ;
• Kim, Young Ho (Department of Mathematics Kyungpook National University) ;
• Jung, Sun Mi (Department of Mathematics Kyungpook National University)
• Received : 2013.04.23
• Published : 2014.05.31
• 98 7

#### Abstract

Ruled submanifolds in Euclidean space satisfying some algebraic equations concerning the Laplace operator related to the isometric immersion and Gauss map are studied. Cylinders over a finite type curve or generalized helicoids are characterized with such algebraic equations.

#### Keywords

Gauss map;ruled submanifold;Grassmannian manifold

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