Gluing of multiple Alexandrov spaces

22 Mar 2020 Ge Jian Li Nan

In this paper we discuss the sufficient and necessary conditions for multiple Alexandrov spaces being glued to an Alexandrov space. We propose a Gluing Conjecture, which says that the finite gluing of Alexandrov spaces is an Alexandrov space, if and only if the gluing is by path isometry along the boundaries and the tangent cones are glued to Alexandrov spaces... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • METRIC GEOMETRY