Publications

(19) Li, Yi. Generalized Ricci flow II: existence for noncompact complete manifolds, Differential Geometry and its Applications, 66(2019), 106-154.

(18) Zhu, Xiaorui; Li, Yi. Harnack estimates for a heat-type equation under the geometric flow, 2018, to appear in Potential Analysis

(17) Li, Yi; Yuan, Yuan; Zhang, Yuguang. On a new geometric flow over Kahler manifolds, to appear in Comm. Analysis and Geometry

(16) Li, Yi. Long time existence and bounded scalar curvature in the Ricci-harmonic flow, J. Differential Equations, 265(2018), no. 1, 69-97. MR3782539

(15) Li, Yi; Zhu, Xiaorui. Harnack estimates for a nonlinear equation under Ricci flow, Differential Geometry and its Applications, 56(2018), 67-80. MR3759353

(14) Li, Yi. Long time existence of Ricci-harmonic flow, Front. Math. China, 11(2016), no. 5, 1313-1334. MR3547931

(13) Li, Yi; Zhu, Xiaorui. Harnack estimates for a heat-type equation under the Ricci flow, J. Differential Equations, 260(2016), no. 4, 3270-3301. MR343499

(12) Li, Yi.Li-Yau-Hamilton estimates and Bakry-Emery Ricci curvature, Nonlinear Anal., 113(2015), 1-32. MR3281843

(11) Li, Yi; Liu, Kefeng. A geometric heat flow for vector fields, Sci. China Math., 58(2015), no. 4, 673-688.MR3319305

(10) Zhu, Xiaorui; Li, Yi.Li-Yau estimates for a nonlinear parabolic equation on manifolds, Math. Phys. Anal. Geom., 17(2014), no. 3-4, 273-288. MR3291929

(9) Li, Yi. A priori estimates for Donaldson's equation over compact Hermitian manifolds,Cal. Var. PDE., 50(2014), no. 3-4, 867-882. MR3216837

(8) Li, Yi. On an extension of the H^k-mean curvature flow for closed convex hypersurfaces, Geom. edicata,172(2014), 147-154. MR3253775

(7) Li, Yi. Eigenvalues and entropies under the harmonic-Ricci flow, Pacific J. Math.,267(2014), no. 1, 141-184. MR3163480

(6) Li, Yi. Mabuchi and Aubin-Yau functionals over complex surfaces, J. Math. Anal. Appl., 416(2014), no. 1, 81-98. MR3182749

(5) Li Yi. On an extension of the H^k-mean curvature flow, Sci. China Math., 55(2012), no. 1, 99-118.MR2873806

(4) Li, Yi. Generalized Ricci flow I: higher derivatives estimates for compact manifolds, Analysis & PDE, 5(2012), no. 4, 747-775. MR3006641

(3) Li Yi. Harnack inequality for the negative power Gaussian curvature flow, Proc. Amer. Math. Soc.,139(2011), no. 10, 3707-3717. MR2813400 (2012g: 53137)

(2) Chen Lin; Li Yi; Liu Kefeng. Localization, Hurwitz numbers and the Witten conjecture, Asian J. Math., 12(2008), no. 4, 511-518. MR2481688 (2009m: 14084)

(1) Li Yi. Some results of the Marino-Vafa formula,Math. Res. Lett., 13(2006), no. 6, 847-864. MR2280780 (2007g: 14071)

Preprints

(8) Li, Yi; Yuan, Yuan; Zhang, Yuguang. On a new geometric flow over Kahler manifolds II: local curvatures estimates,preprint, 2019.

(7) Li, Yi. Scalar curvature along the Ricci flow, preprint, 2019.

(6) Li, Xiangdong; Li, Songzi; Li, Yi. Uniqueness and local curvature estimates for a class of generalized Ricci flow, preprint, 2019.

(5) Li, Yi. Local curvature estimates for the Ricci-harmonic flow, preprint, arXiv: 1810.09760v1 (submitted)

(4) Li, Yi. Local curvature estimates for Lapalcian G₂-flow, preprint, arXiv: 1805.06231 (submitted)

(3) Wu, Guoqiang; Li, Yi. Heat kernel estimates along the Ricci-harmonic flow, preprint, 2017 (submitted)

(2) Li, Yi. Mabuchi and Aubin-Yau functionals over complex manifolds, arXiv: 1004.0553, preprint.

(1) Li, Yi. Mabuchi and Aubin-Yau functionals over complex three-folds, arXiv: 1003.5307, preprint.

In preparation

(1) Li, Yi; Yuan, Yuan; Zhang, Yuguang. On a new geometric flow over Kahler manifolds III: long time behavior, in preparation, 2019.