Bi-Lipschitz and differentiable {R}-sufficiency of jets via Newton filtration

Key Points

• The study aims to establish a criterion for bi-Lipschitz and differentiable R-sufficiency in the context of filtered jets and newton filtration.
• Developed criteria for bi-Lipschitz and differentiable R-sufficiency of jets.
• Investigated the role of singular metrics in newton filtration.
• Used a generalized metric previously applied to V-sufficiency.
• Established new criteria for R-sufficiency of filtered jets.
• Demonstrated the interaction between singular metrics and newton filtration.
• Contributed to the understanding of differentiability in mathematical contexts.