Differential and Integral Equations
- Differential Integral Equations
- Volume 11, Number 1 (1998), 191-199.
A Poincaré index formula for surfaces with boundary
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.
Differential Integral Equations, Volume 11, Number 1 (1998), 191-199.
First available in Project Euclid: 1 May 2013
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Llibre, Jaume; Villadelprat, Jordi. A Poincaré index formula for surfaces with boundary. Differential Integral Equations 11 (1998), no. 1, 191--199. https://projecteuclid.org/euclid.die/1367414143