We investigate the scalar curvature behavior along the normalized conical Kähler–Ricci flow ωt, which is the conic version of the normalized Kähler–Ricci flow, with finite maximal existence time T<∞. We prove that the scalar curvature of ωt is bounded from above by C/(T−t)2 under the existence of a contraction associated to the limiting cohomology class [ωT]. This generalizes Zhang's work to the conic case.
ASJC Scopus subject areas
- Geometry and Topology
- Computational Theory and Mathematics