• 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


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.


Gauss map;ruled submanifold;Grassmannian manifold


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