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math.DG2021
Approximating continuous function on orbit spaces
Qianqian Xia
In this paper we study a subclass of subcartesian space-the orbit space of a proper action of Lie group on smooth manifold. We show that continuous functions on orbit space can be…
math.DG2021
Smooth distributions on subcartesian spaces are globally finitely generated
Qianqian Xia
We prove that a connected subcartesian space admits embedding in a Euclidean space. The Whitney Embedding Theorem is then stated as a corollary of our result. Based on the above re…
math.DG2019
Quotients of affine connection control systems
Qianqian Xia, Zhiyong Geng
In this paper, we investigate the existence of a subclass of quotients of affine connection control systems, which preserve the mechanical structures. Both local and global suffici…