Abstract
Let be a compact –dimensional Riemannian manifold with a finite number of singular points, where the metric is asymptotic to a nonnegatively curved cone over . We show that there exists a smooth Ricci flow starting from such a metric with curvature decaying like . The initial metric is attained in Gromov–Hausdorff distance and smoothly away from the singular points. In the case that the initial manifold has isolated singularities asymptotic to a nonnegatively curved cone over , where acts freely and properly discontinuously, we extend the above result by showing that starting from such an initial condition there exists a smooth Ricci flow with isolated orbifold singularities.
Citation
Panagiotis Gianniotis. Felix Schulze. "Ricci flow from spaces with isolated conical singularities." Geom. Topol. 22 (7) 3925 - 3977, 2018. https://doi.org/10.2140/gt.2018.22.3925
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