https://neckpinch.com/authors/der-chen-chang/New arXiv papers by Der-Chen Chang, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2210.12702/arxiv:2210.12702Sun, 23 Oct 2022 00:00:00 GMTDer-Chen Chang, Shu-Cheng Chang, Yingbo Han, Chien Lin, Chin-Tung Wu — In this paper, we show that the uniform L^4-bound of the transverse Ricci curvature along the Sasaki-Ricci flow on a compact quasi-regular transverse Fano Sasakian (2n+1)-manifold M. When M is dimension up to seven and the space of leaves of the characteristic foliation is well-formed, we first show that any solution of the Sasaki-Ricci flow converges in the Cheeger-Gromov sense to the unique singular orbifold Sasaki-Ricci soliton on the limit space which is a S^1-orbibundle over the unique singular Kaehler-Ricci soliton on a normal projective variety with codimension two orbifold singularities. Secondly, for n=1, we show that there are only two nontrivial Sasaki-Ricci solitons on a compact quasi-regular Fano Sasakian three-sphere with its leave space a teardrop-like and football-like space, respectively. For n=2,3, we show that the Sasaki-Ricci soliton is trivial one if M is transverse K-stable.Ricci flowRicci solitonsKähler–Ricci solitonsSingularitiesKähler geometryKähler–Einstein & K-stabilitySasakian & contact geometry