Bull. Korean Math. Soc. 2014; 51(3): 823-829
Printed May 31, 2014
https://doi.org/10.4134/BKMS.2014.51.3.823
Copyright © The Korean Mathematical Society.
Dong-Soo Kim, Young Ho Kim, and Sun Mi Jung
Chonnam National University, Kyungpook National University, Kyungpook National University
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
2017; 54(6): 2081-2089
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2014; 51(3): 911-922
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