2 papers
math.MG2026
Pullback theorem and rigidity for Sobolev mappings on Carnot groups
Yihan Cui
This paper establishes a pullback theorem via mollification to extend the rigidity theory of Sobolev mappings between Carnot groups to the low-integrability regime where the Sobole…
math.DG2025
Contact lifts and Holder lifts to central extension of Carnot groups
Yihan Cui
We consider the existence problem of lift F of a map f between Carnot group with different smoothness, where we use central extension to define lifting. Our main result is the exis…