/
/
/
Poles and Straight Lines on Surfaces

Poles and Straight Lines on Surfaces

Original Research ArticleNov 12, 2018Vol. 5 No. 1 (2005)

Abstract

There are open problems originated from classical differential geometry. In this note some interesting open problems will be introduced.

Keywords: -

Corresponding author: E-mail: m-tanaka@sm.u-tokai.ac.jp

How to Cite

Tanaka, M. . (2018). Poles and Straight Lines on Surfaces. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 161-164.

References

  • K. Inoue, Straight lines on a surface of revolution homeomorphic to a cylinder, (in Japanese) (1998), Master thesis, Tokai university.
  • M. Maeda, Geodesic spheres and poles, Geometry of Manifolds, Academic Press, MA, 1989, 281-293.
  • H. von Mangodt, Über diejenigen Punkte auf positive gekrümmten Flächen, welche die Eingenschaft haben, dass die von Ihnen ausgehenden geodätischen Linien nie aufhören, kürzeste Linien zu sein, J. Reine. Angrew. Math. 91, (1881), 23-53.
  • K. Shiohama, T. Shioya and M. Tanaka, The Geometry of Total Curvature on Complete Open Surfaces, Cambridge Tracts in Mathematics, No. 159. Cambridge University Press, (2003)
  • R. Sinclair and M. Tanaka, Loki: Software for computing cut loci, Experimental Mathematics 11, (2002), 1-25.

Author Information

Minoru Tanaka

Department of Mathematics, Tokai University, Japan

About this Article

Journal

Vol. 5 No. 1 (2005)

Type of Manuscript

Original Research Article

Keywords

-

Published

12 November 2018