Oberseminar Differentialgeometrie: Boris Vertman, Oldenburg, Vortrag: Stability of the Ricci de Turck flow on singular spaces
am Montag, 28.05.2018 16:15 im Raum SR4
Abstract. We discuss stability of the Ricci de Turck flow near Ricci-flat metrics with isolated conical singularities. More precisely, we construct a Ricci de Turck flow which starts sufficiently close to a Ricci-flat metric with isolated conical singularities and converges to a singular Ricci-flat metric under an assumption of integrability, linear and tangential stability. We provide a characterization of conical singularities satisfying tangential stability and discuss examples where the integrability condition is satisfied.