Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2016; 53(6): 1309-1330

Online first article August 25, 2016      Printed November 1, 2016

https://doi.org/10.4134/JKMS.j150498

Copyright © The Korean Mathematical Society.

Gauss maps of ruled submanifolds and applications $I$

Sun Mi Jung, Dong-Soo Kim, Young Ho Kim, and Dae Won Yoon

Silla University, Chonnam National University, Kyungpook National University, Gyeongsang National University

Abstract

Go to

As a generalizing certain geometric property occurred on the helicoid of 3-dimensional Euclidean space regarding the Gauss map, we study ruled submanifolds in a Euclidean space with pointwise 1-type Gauss map of the first kind. In this paper, as new examples of cylindrical ruled submanifolds in Euclidean space, we construct generalized circular cylinders and characterize such ruled submanifolds and minimal ruled submanifolds of Euclidean space with pointwise 1-type Gauss map of the first kind.

Keywords: pointwise 1-type Gauss map, ruled submanifold, Grassmannian manifold, generalized circular cylinder

MSC numbers: Primary 53A04, 53A05, 53A07

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +