Some classifications of ruled submanifolds
Bull. Korean Math. Soc. 2014 Vol. 51, No. 3, 823-829
Published online May 31, 2014
Dong-Soo Kim, Young Ho Kim, and Sun Mi Jung
Chonnam National University, Kyungpook National University, Kyungpook National University
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
MSC numbers : 53A04, 53A05, 53A07
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