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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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$\textrm {SO}(2)$-equivariant vector fields on $3$-manifolds: moduli of stability and genericity
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by Genesio Lima dos Reis and Geovan Tavares dos Santos PDF
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.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 308 (1988), 747-763
  • MSC: Primary 58F10; Secondary 58F09
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0951626-7
  • MathSciNet review: 951626