• 其他栏目

    韦勇

    • 特任教授 博士生导师
    • 电子邮箱:
    • 办公地点:管理科研楼1305
    • 联系方式:0551-63600940
    • 学科:数学

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    研究方向

      研究方向是微分几何,几何分析,近期主要研究兴趣是几何曲率流及其应用。

    发表论文

      完整的已发表论文列表请见MathSciNet

      • Alexandrov–Fenchel type inequalities with convex weight in space forms (with Kwok-Kun Kwong),  Annali di Matematica Pura ed Applicata,  2026. 

      • Volume preserving flows in anisotropic geometries (with Ben Andrews, Yitao Lei, Changwei Xiong).   Calc. Var. Partial Differential Equations 64 (2025), no. 9, Paper No. 287, 49 pp. 

      • Anisotropic Gauss curvature flow of complete non-compact graphs (with Shujing Pan), J. Geom. Phys. 218 (2025), Paper No. 105648, 20 pp.

      • On Natário's Minkowski-type inequality in the hyperbolic space.  Bull. Lond. Math. Soc. 57 (2025), no. 8, 2477–2488.

      • The horospherical $p$-Christoffel-Minkowski problem in hyperbolic space (with Tianci Luo),   Nonlinear Anal., Volume 257, August 2025, 113799

      • Volume preserving nonhomogeneous Gauss curvature flow in hyperbolic space (with Bo Yang and Tailong Zhou), Pure Appl. Math. Q., Volume 21, Number 4, 1607–1643, 2025

      • A Heintze-Karcher type inequality for capillary hypersurfaces in hyperbolic half-space (with Yingxiang Hu, Chao Xia and Tailong Zhou),  J. Funct. Anal. 289, no. 6, 110970, 2025.

      • A complete family of Alexandrov-Fenchel inequalities for convex capillary hypersurfaces in the half-space (with Yingxiang Hu, Bo Yang and Tailong Zhou),  Math. Ann., 390 (2024), no. 2, 3039–3075.

      • Volume preserving Gauss curvature flow of convex hypersurfaces in H^{n+1} (with Bo Yang and Tailong Zhou),   Trans. Amer. Math. Soc. 377 (2024), no. 4, 2821–2854.

      • Evolution of graphs in hyperbolic space by their Gauss curvature (with Shujing Pan).  Nonlinear Anal. 241 (2024), Paper No. 113477, 17 pp. 

      • On the mean curvature type flow for convex capillary hypersurfaces in the ball (with Yingxiang Hu, Bo Yang, Tailong Zhou),  Calc.Var.Partial Differ. Equ., Vol. 62, no. 7, article no. 209, 2023. 

      • Geometric inequalities involving three quantities in warped product manifolds (with Kwok-Kun Kwong), Advances in Math. ,Vol. 430, 1 Oct 2023, article no. 109213. 

      • Shifted inverse curvature flows in hyperbolic space (with Xianfeng Wang and Tailong Zhou), Calc.Var.Partial Differ. Equ., 62 (2023), no.3, article no.93. 

      • Volume preserving flows for convex curves and surfaces in the hyperbolic space (with Bo Yang), J. Func. Anal., 283, no. 11, Article 109685, 2022. 

      • On an inverse curvature flow in two-dimensional space forms (with Kwok-Kun Kwong, Glen Wheeler, and Valentina-Mira Wheeler), Math. Ann. (2022) 384: 285-308. 

      • Locally constrained curvature flows and geometric inequalities in hyperbolic space (with Yingxiang Hu and Haizhong Li), Math. Ann., (2022) 382:1425-1474.  

      • A volume-preserving anisotropic mean curvature type flow (with Changwei Xiong), Indiana Univ. Math. J.70 (2021), 881-906. 

      • Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space (with Ben Andrews and Xuzhong Chen), J. Eur. Math. Soc., 23 (2021), no. 7, 2467-2509.  

      • Volume preserving flow by powers of kth mean curvature (with Ben Andrews), J. Differential Geom, 117 (2021), no. 2 , 193-222 

      • Stability of torsion-free G2 structure along the Laplacian flow (with Jason D. Lotay), J. Differential Geom., 111 (2019), no. 3, 495-526. 

      • Quermassintegral preserving curvature flow in hyperbolic space (with Ben Andrews), Geom. Funct. Anal., 2018, 28(5), 1183-1208. 

      • On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space, Calc.Var.Partial Differ. Equ., 2018, vol. 57, no. 2, article no. 46. 

      • On inverse mean curvature flow in Schwarzchild space and Kottler space (with Haizhong Li), Calc.Var.Partial Differ. Equ.,2017, vol. 56, no. 3, article no. 62 

      • Laplacian flow for closed G2 structures: Shi-type estimate, uniqueness and compactness (with Jason D. Lotay), Geom. Funct. Anal., 2017, 27(1), 165-233. 

      • Smooth compactness of f-minimal hypersurfaces with bounded f-index (with Ezequiel Barbosa and Ben Sharp),  Proc. Amer. Math. Soc. 145 (2017), no. 11, 4945–4961. 

      • A geometric inequality on hypersurface in hyperbolic space (with Haizhong Li and Changwei Xiong), Advances in Math., 2014, 253(1):152-162