Translator Disclaimer
1998 A Poincaré index formula for surfaces with boundary
Jaume Llibre, Jordi Villadelprat
Differential Integral Equations 11(1): 191-199 (1998).

Abstract

We give an easy extension of the Poincaré Index Formula from the disc to any surface with boundary. In particular we show that the sum of the indices of the vector field at the critical points depends only on the Euler characteristic of the surface and on the behaviour of its trajectories in the boundary. Our theorem improves previous results on the same formula.

Citation

Download Citation

Jaume Llibre. Jordi Villadelprat. "A Poincaré index formula for surfaces with boundary." Differential Integral Equations 11 (1) 191 - 199, 1998.

Information

Published: 1998
First available in Project Euclid: 1 May 2013

zbMATH: 1004.57024
MathSciNet: MR1607604

Subjects:
Primary: 57R25
Secondary: 34C05, 55M25, 58F21

Rights: Copyright © 1998 Khayyam Publishing, Inc.

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.11 • No. 1 • 1998
Back to Top