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Article Contents

# Generalized submersiveness of second-order ordinary differential equations

• We generalize the notion of submersive second-order differential equations by relaxing the condition that the decoupling stems from the tangent lift of a basic distribution. It is shown that this leads to adapted coordinates in which a number of first-order equations decouple from the remaining second-order ones.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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