Research profile

Lothar Schiemanowski

Works on surfaces, limit spaces & RCD and singularities.

NP-RC-5433040000-0001-7377-3416

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SurfacesLimit spaces & RCDSingularitiesRicci flow

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.DGarXiv:1803.05737

Blowup criteria for geometric flows on surfaces

Lothar Schiemanowski

Utilizing a splitting of geometric flows on surfaces introduced by Buzano and Rupflin, we present a general scheme to prove blow up criteria for such geometric flows. A vital ingredient is a new compactness theorem for families of metrics on surfaces with a uniform bound on their volumes, square integrals of their curvatures and injectivity radii. In particular we prove blow up criteria for the harmonic Ricci flow and for the spinor flow on surfaces.

Ricci flowSingularitiesSurfacesLimit spaces & RCD
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