A restriction for singularities on collapsing orbifolds

Details A restriction for singularities on collapsing orbifolds A restriction for singularities on collapsing orbifolds

2011-01-24

arxiv.org/abs/1101.4444v2

Mathematics

Differential Geometry

Preprint. 9 pages. The bound for $|G_x|$ is corrected to $(2\pi/0.47)^{n(n-1)}$

Scientific paper

An orbifold $X$ is locally homeomorphic to $G_x\backslash B_r(0)$, where
$G_x$ is a finite group acting on $B_r(0)\subset{\mathbb R}^n$, so that
$G_x(0)=0$. For collapsing orbifolds with isolated singularities, we show there
is a uniform bound in $|G_x|$.

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