Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
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.
Some classifications of ruled submanifolds
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
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Bour's Theorem in 4-dimensional Euclidean space
2017; 54(6): 2081-2089
-
Ruled surfaces and Gauss map
2015; 52(5): 1661-1668
-
Boost invariant surfaces with pointwise 1-type Gauss map in Minkowski 4-space E$_{1}^{4}$
2014; 51(6): 1863-1874
-
Meridian surfaces in $\mathbb{E}^{4}$ with pointwise 1-type Gauss map
2014; 51(3): 911-922
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd