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Jacobians and branch points of real analytic open maps

✍ Scribed by M. W. Hirsch


Publisher
Springer
Year
2002
Tongue
English
Weight
178 KB
Volume
63
Category
Article
ISSN
0001-9054

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Diffeomorphic real-analytic maps and the
✍ M. Chamberland πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 390 KB

It is shown that if the real-analytic map f(x) : Ill2 + BP2 has a Jacobian matrix whose eigenvaluee are always both one, then the map ls a diffeemorphism. An explicit form of the inverse ls given. The proof relies on a result which says that the only global solutions to the quasi-linear partial diff