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Unipotent Jacobian Matrices and Univalent Maps

L. Andrew Campbell
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Abstract

The Jacobian Conjecture would follow if it were known that real polynomial maps with a unipotent Jacobian matrix are injective. The conjecture that this is true even for $C^1$ maps is explored here. Some results known in the polynomial case are extended to the $C^1$ context, and some special cases are resolved.

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L. Andrew Campbell. 1999-08-24. Unipotent Jacobian Matrices and Univalent Maps. https://arxiv.org/abs/math/9907157

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