Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614139 | Journal of Mathematical Analysis and Applications | 2016 | 19 Pages |
Abstract
We prove the following version of the real Jacobian conjecture: “Let F=(p,q):R2→R2F=(p,q):R2→R2 be a polynomial map with nowhere zero Jacobian determinant. If the degree of p is less than or equal to 4, then F is injective”. The approach to prove this result leads to a complete classification, up to affine change of coordinates, of the polynomial submersions of degree 4 in R2R2 whose level sets are not all connected.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francisco Braun, Bruna Oréfice-Okamoto,