17 citations · 42 across the 7 of their papers we have counts for
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math.DG2006
A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold
Joseph E. Borzellino, Victor Brunsden
For a compact, smooth C^r orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for finite r \ge 1 and a Fre…
math.DG2006★ 1 cited
On the existence of infinitely many closed geodesics on orbifolds of revolution
Joseph E. Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics +1
Using the theory of geodesics on surfaces of revolution, we introduce the period function. We use this as our main tool in showing that any two-dimensional orbifold of revolution h…