𝑆𝑂(2)-equivariant vector fields on 3-manifolds: moduli of stability and genericity

dos Reis, Genesio Lima; dos Santos, Geovan Tavares

doi:10.1090/S0002-9947-1988-0951626-7

$\textrm {SO}(2)$-equivariant vector fields on $3$-manifolds: moduli of stability and genericity
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Trans. Amer. Math. Soc. 308 (1988), 747-763 Request permission

Abstract:

An open and dense class of vector fields on $3$-dimensional compact manifolds equivariant under the action of $\operatorname {SO} (2)$ is defined. Each such vector field has finite moduli of stability. We also exhibit an open and dense subset of the $\operatorname {SO} (2)$-equivariant gradient vector fields which are structurally stable.

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