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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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Geometric properties of homogeneous vector fields of degree two in $\textbf {R}^{3}$
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by M. Izabel T. Camacho PDF
Trans. Amer. Math. Soc. 268 (1981), 79-101 Request permission

Abstract:

In the space of homogeneous polynomial vector fields of degree two, those that project on Morse-Smale vector fields on ${S^2}$ by the Poincaré central projection form a generic subset. The classification of those vector fields on ${S^2}$ without periodic orbits is given and applications to the study of local actions of the affine group of the line are derived.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 268 (1981), 79-101
  • MSC: Primary 58F09; Secondary 34D30
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0628447-1
  • MathSciNet review: 628447