106 research outputs found
Locally conformally flat ancient Ricci flows
We show that any locally conformally flat ancient solution to the Ricci flow
must be rotationally symmetric. As a by-product, we prove that any locally
conformally flat Ricci soliton is a gradient soliton in the shrinking and
steady cases as well as in the expanding case, provided the soliton has
nonnegative curvature.Comment: Final version, to appear on Anal. PD
On the resolution of extremal and constant scalar curvature Kaehler orbifolds
In this paper we give sufficient conditions on a compact orbifold with an
extremal Kaehler metric to admit a resolution with an extremal Kaehler metric.
We also complete the Kaehler constant scalar curvature case.Comment: This paper, together with the next one by the same authors, contains
more general results than arxiv.org/abs/1402.5919 (by the same authors),
which will then be withdraw
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