6533b86cfe1ef96bd12c7faa

RESEARCH PRODUCT

Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs

Christian Bonatti

subject

symbols.namesakeGeneral MathematicsEuler characteristicMathematical analysisZero (complex analysis)symbolsVector fieldManifoldMathematics

description

One proves the existence of a common zero for any two ℝ-analytic commuting vector fields on a 4-dimensional manifold with not zero Euler characteristic. A local version of this result remains true on 3-manifolds.

https://doi.org/10.1007/bf01232943