Lipschitz trivial values of polynomial mappings
Andr\'e Costa, Vincent Grandjean, Maria Michalska
TL;DR
This paper characterizes polynomial mappings between affine spaces that have a Lipschitz-trivial value, providing a complete description of such mappings in real or complex settings.
Contribution
It offers a complete characterization of polynomial mappings with Lipschitz-trivial values in affine spaces, advancing understanding of their structure.
Findings
Polynomial mappings with Lipschitz-trivial values are fully characterized.
The characterization applies to both real and complex polynomial mappings.
Provides a classification framework for such mappings.
Abstract
Real or complex polynomial mappings between affines spaces admitting a Lipschitz-trivial value are completely characterized.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Advanced Banach Space Theory · Advanced Topics in Algebra