Injectivity of local diffeomorphisms from nearly spectral conditions

Journal of Differential Equations

Volumn 130, Issue 2, 1996, Pages 406-414

  Smyth, Brian ^a   Xavier, Frederico ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030595242     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0151     Document Type: Article

References (10)

1. 1. H. Bass, E. Connell, and D. Wright, The Jacobian Conjecture: Reduction of the degree and formal expansion of the inverse, Bull. Amer. Math. Soc. 7 (1982), 287-330.
2. 2. J. Bernat and J. Llibre, Counterexample to Kalman and Markus-Yamabe conjectures in dimension larger than 3, preprint, 1994.
3. 3. L. Druzkowski, An effective approach to Keller's Jacobian conjecture, Math. Ann. 264 (1983), 303-313.
4. 4. R. Fessler, A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization, Ann. Polon. Math. 62 (1995), 45-75.
5. 5. A. A. Glutsyuk, A complete solution of the Jacobian problem for vector fields on the plane, Russian Math. Surveys 49 (1994), 185-186.
6. 6. C. Gutierrez, A solution to the bidimensional global asymptotic stability conjecture, Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), 627-671.
7. 7. C. Olech, On the global stability of an autonomous system in the plane, Contrib. Differential Equations 1 (1963), 389-400.
8. 8. S. Pinchuk, A counterexample to the strong real Jacobian conjecture, Math. Z. 217 (1994), 1-4.
9. 9. F. Xavier, Invertibility of Bass-Connell-Wright polynomial maps, Math. Ann. 295 (1993), 163-166.
10. 10. F. Xavier, Injectivity as a transversality phenomenon in geometries of negative curvature, preprint.