李逸

Textbooks

(1)李逸，  基本分析讲义（第一卷）.pdf(8/25/2023,第四次修订)

           基本分析讲义（第二卷）.pdf(5/4/2023,updated，修订中)

           基本分析讲义（第三卷）.pdf(5/4/2023,updated，修订中)

           高等数学讲义（Calculus）.pdf(8/25/2023,第二次修订)

(2) Yi Li, Topology_2021_.pdf (5/11/2021,updated)

(3) Yi Li,  Riemannian_manifolds.pdf (5/21/2021, updated)

(4) Yi Li, 东南大学数学系史 (1902-1949).pdf（8/25/2023,第九次修订）

(5) Yi Li, 上海交通大学数学系史 (1896-1949), in preparation

(6) Yi Li, 宁波大学数学系史(1986-now), in preparation

(7) 李逸, 一大纲领中缺失的第11条.pdf (东南大学学生历史社团讲座)

Publications and Preprints

(34) Li, Yi; Zhang, Qianwei. Existence of solutions to a class of Kazdan-Warner equations on finite graphs, preprint, arXiv: 2308.10002, 2023 (submitted)

(33) Li, Yi. Curvature pinching estimate under the Laplacian G_2 flow, preprint, arXiv: 2307.14289, 2023 (submitted)

(32) Li, Yi. Curvature estimates on a parabolic flow of Fei-Guo-Phong, preprint, arXiv: 2210.16842, 2022 (submitted)

(31) Li, Yi. A new notion on weighted Riemann curvature, Rendiconti del Circolo Matematico di Palermo Series 2, 2023.

(30) Li, Yi; Li, Chuanhuan; Xu, Kairui. Parabolic frequency monotonicity on Ricci flow and Ricci-harmonic flow with bounded curvatures, The Journal of Geometric Analysis, 33, 282 (2023).

(29) Li, Yi; Li, Chuanhuan. List's flow with bounded integral curvature on noncompact complete Riemannian manifolds, preprint, 2022

(28) Li, Yi; Zhang, Miaosen. A local curvature estimate for the Ricci-harmonic flow on complete Riemannian manifolds, preprint,  http://arxiv.org/abs/2112.02576 (submitted)

(27) Li, Yi. Local curvature estimates for the Ricci-harmonic flow, Nonlinear Analysis, 222(2022), No. 112961, 53pp.

(26) Li, Yi; Yuan, Yuan. Local curvature estimates along the k-LYZ flow, J. Geom. Phys., 164(2021), 104162, 21pp.

(25) Li, Yi. Local curvature estimates for the Laplacian flow,  Cal. Var. PDE., 60(2021), no. 1, Paper No. 28, 37pp.

(24) Li, Yi; Yuan, Yuan; Zhang, Yuguang. On a new geometric flow over Kahler manifolds, Comm. Analysis and Geometry, 28(2020), no. 6, 1251-1288.

(23) Zhu, Xiaorui; Li, Yi. Harnack estimates for a heat-type equation under the geometric flow, Potential Analysis, 52(2020), 469-496. MR4067300

(22) Li, Yi. Generalized Ricci flow II: existence for noncompact complete manifolds, Differential Geometry and its Applications, 66(2019), 106-154. MR3913713

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

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

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

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

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

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

(15) 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

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

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

(12) 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

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

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

(9) Li, Yi. Eigenvalues and entropies under the harmonic-Ricci flow, Pacific J. Math.,267

(2014), no. 1, 141-184. MR3163480

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

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

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

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

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

(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)

In preparation

(4) Li, Yi. CR twistor space and exceptional Lie groups, 2023.

(3) Li, Yi. A project on Einstein scalar field equations. 

(2) Li, Yi. Geometry on Ricc-harmonic metrics.

(1) Li, Yi; Yuan, Yuan. On a new geometric flow over Kahler manifolds III: long time behavior, in preparation, 2021.