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Scholarly Works (65 results)
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Article
Peer Reviewed
Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds
Hirsch, Morris
UC Berkeley Previously Published Works
(2015)
I discuss old and new results on fixed points of local actions by Lie groups G on real and complex 2-manifolds, and zero sets of Lie algebras of vector fields. Results of E. Lima, J. Plante and C. Bonatti are reviewed.
Article
Peer Reviewed
Common zeros of inward vector fields on surfaces
Hirsch, Morris W
UC Berkeley Previously Published Works
(2012)
A vector field X on a manifold M with possibly nonempty boundary is inward if it generates a unique local semiflow $\Phi^X$. A compact relatively open set K in the zero set of X is a block. The Poincar