Xiaqiaoling

Qiaoling Xia is a special term professor of Hangzhou Dianzi University.  Research field: differential geometry, Riemann-Finsler geometry and geometric analysis. She has been engaging in teaching and research on differential geometry for a long time.  At present she mainly focuses on the global analysis and topology on manifolds, particularly, geometric analysis on Finsler manifolds and the topological structures of Finsler manifolds. Up to now, dozens of academic papers have been published in the mathematical jounal indexed by SCI at home and abroad, and some research grants from National Natural Scientic Fundation of China (NNSFC) and Zhejiang Provincial Natural Science Foundation of China (ZP-NSFC) have been awarded. Moreover,  she had ever been to visit some countries, such as United States, Hungary, Japan and Romania etc., as a visiting scholar. 

Undergraduate: Mathematical Analysis (A1, A2, A3); Analytic Geometry; Linear Algebra

Graduate:   Differential Manifold,  Riemannian Geometry,  Differential Geometry,  Riemann-Finsler Geometry,  Complex Geometry 

Research Grants （Since the year 2010) :

Selected research grants from National Natural Science Foundation of China (NNSFC) and Zhejiang Provincial Natural Science Foundation of China (ZP-NSFC) awarded.

(1) NNSFC (No. 12471044), project director, 2025.01-2028.12.

(2)  NNSFC (No. 12326402), project director, 2024.01-2024.12. 

(3) NNSFC (No.12126403 ), project director, 2022.01-2022.12.

(4) NNSFC (No. 12071423), project director, 2021-2024. 

(5) NNSFC (No. 11671352), project director, 2017-2020.

(6) NNSFC (No.11171297), project director, 2011-2015. 

(7) ZP-NSFC (No. LY19A010021), project director, 2019-2021. 

(8) ... ...

Selected Publications (papers related to Finsler geometry in recent years) ：

• Q. Xia, Almost Ricci solitons on Finsler spaces, J. Geom. Anal.,  35:11 (2025), 41pp. 

• Q. Xia and J. Zhu, Gradient Ricci solitons on Kropina measure spaces, J. Geom. Phys., 195(2024), 105037, 14pp.

•  Q. Xia, Uniqueness of L^p subsolutions to the heat equation on Finsler spaces, Canad. Math. Bull., 67(1)(2024), 166-175. 

•  Q. Xia, Li-Yau’s estimates on Finsler manifolds,  J. Geom. Anal., 33(2023), 49, 33pp.

•  Q. Xia, Local and global gradient estimates for Finsler p-harmonic functions, Commu. Anal.  Geom., 30(2) (2022), 451-500. 

• Q.Xia and X.Zhang, On the Steinness of strongly convex Kahler Finsler manifolds, Math. Z., 299 (2021), 1037-1069. 

• Q. Xia, Geometric and functional inequalities on Finsler manifolds, J. Geom. Anal., 30(3) (2020), 3099-3148

•  Q.Xia, Sharp spectral gap for the Finsler p-Laplacian, Sci. China Math., 62(8) (2019), 1615-1644.

•  ...... ......
  

• Q.Xia, Geometry and Analysis on Finsler spaces, World Scientific Publishing, 2025.