English

Approximating continuous function on orbit spaces

Differential Geometry 2021-11-22 v1

Abstract

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 approximated by smooth functions.

Keywords

Cite

@article{arxiv.2111.10060,
  title  = {Approximating continuous function on orbit spaces},
  author = {Qianqian Xia},
  journal= {arXiv preprint arXiv:2111.10060},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2111.08849