@Article{JMS-58-1,
author = {Shu-Cheng, Chang and Yingbo, Han and Lin, Chien and Wu, Chin-Tung},
title = {$L^4$-Bound of the Transverse Ricci Curvature under the Sasaki-Ricci Flow},
journal = {Journal of Mathematical Study},
year = {2025},
volume = {58},
number = {1},
pages = {38--61},
abstract = {<p style="text-align: justify;">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 $M.$ Then we are able to study the structure of the limit space. As consequences, when $M$ is of dimension five and the space of leaves of the characteristic
foliation is of type I, any solution of the Sasaki-Ricci flow converges in the Cheeger-Gromov sense to the unique singular orbifold Sasaki-Ricci soliton and is trivial one if $M$ is transverse $K$-stable. Note that when the characteristic foliation is of type II, the
same estimates hold along the conic Sasaki-Ricci flow.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v58n1.25.03},
url = {https://global-sci.com/article/91746/l4-bound-of-the-transverse-ricci-curvature-under-the-sasaki-ricci-flow}
}