## Tokyo Journal of Mathematics

### On Some Branched Surfaces Which Admit Expanding Immersions

Eijirou HAYAKAWA

#### Abstract

We deal with the class of branched surfaces $K$ such that 1) the branch set $S$ of $K$ is an embedded circle, 2) all connected components of $K\backslash S$ are orientable and their number is two or three. We show that in this class only two topological types admit expanding immersions. In the proof of the result, the Euler class of the tangent bundle of $K$ plays an important role.

#### Article information

Source
Tokyo J. Math., Volume 13, Number 1 (1990), 63-72.

Dates
First available in Project Euclid: 1 April 2010

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1270133004

Digital Object Identifier
doi:10.3836/tjm/1270133004

Mathematical Reviews number (MathSciNet)
MR1059014

Zentralblatt MATH identifier
0711.57011

#### Citation

HAYAKAWA, Eijirou. On Some Branched Surfaces Which Admit Expanding Immersions. Tokyo J. Math. 13 (1990), no. 1, 63--72. doi:10.3836/tjm/1270133004. https://projecteuclid.org/euclid.tjm/1270133004