A family of minimal immersed tori in S-3 with dense principal lines

作者：Garcia Ronaldo^*; Marques Diego

来源：Bulletin des Sciences Mathematiques, 2013, 137(2): 220-227.

DOI：10.1016/j.bulsci.2012.09.005

• Principal curvature lines
• Dense principal foliations
• Minimal torus
• Transcendent rotation number

In this paper is given an example of a discrete family of minimal tori T-2 immersed in S-3 such that all their principal lines are dense. A relationship between the dynamical behavior of principal foliations and transcendental number theory is established.

• 出版日期2013-3