共形几何与不变量理论

11831005
2018
A0108.整体微分几何
王长平
重点项目
教授
福建师范大学
250万元
子流形;共形几何;不变量;变分问题;广义Willmore猜想
2019-01-01到2023-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Conformally flat Lorentzian hypersurfaces in Lorentzian 4-space with special shape operator 期刊论文 Zhenxiao Xie;Changping Wang;Xiaozhen Wang
2 Locally constrained curvature flows and geometric inequalities in hyperbolic space 期刊论文 Yingxiang Hu;Haizhong Li;Yong Wei
3 Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms 期刊论文 Yingxiang Hu;Haizhong Li
4 Asymptotic convergence for a class of anisotropic curvature flows 期刊论文 Haizhong Li;Botong Xu;Ruijia Zhang
5 Contraction of surfaces in hyperbolic space and in sphere 期刊论文 Hu Yingxiang;Li Haizhong;Wei Yong;Zhou Tailong
6 Gradient Estimate and Liouville Theorems for p-Harmonic Maps 期刊论文 Yuxin Dong;Hezi Lin
7 Scalar Curvature and Betti Numbers of Compact Riemannian Manifolds 期刊论文 Hezi Lin
8 Minimal Lagrangian surfaces in CP 2 via the loop group method Part I: The contractible case 期刊论文 Dorfmeister Josef F.;Ma Hui
9 The stability of hypersurfaces with constant shifted k‐th mean curvature 期刊论文 Yimin Chen;Haizhong Li
10 A flow approach to the prescribed Gaussian curvature problem in ℍ+1 期刊论文 Haizhong Li;Ruijia Zhang
11 Willmore deformations between minimal surfaces in $$mathbb {H}^{n+2}$$ and $$mathbb {S}^{n+2}$$ 期刊论文 Changping Wang;Peng Wang
12 Time-like conformal homogeneous hypersurfaces with three distinct principal curvatures 期刊论文 Yan Bin LIN;Ying LV;Chang Ping WANG
13 Harmonic mean curvature flow and geometric inequalities 期刊论文 Andrews Ben;Hu Yingxiang;Li Haizhong
14 Higher-order Minkowski formula in complex space forms 期刊论文 Dong Gao
15 Wintgen ideal submanifolds: new examples, frame sequence and Möbius homogeneous classification 期刊论文 Zhenxiao Xie;Tongzhu Li;Xiang Ma;Changping Wang
16 A Penrose type inequality for graphs over Reissner-Nordström-anti-deSitter manifold 期刊论文 Daguang Chen;Haizhong Li;Tailong Zhou
17 Geometric inequalities for static convex domains in hyperbolic space 期刊论文 Yingxiang Hu;Haizhong Li
18 Characterizations of umbilic hypersurfaces in warped product manifolds 期刊论文 Gao Shanze;Ma Hui
19 Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature 期刊论文 Guan Zhida;Li Haizhong;Vrancken Luc
20 Geometric inequalities for free boundary hypersurfaces in a ball 期刊论文 Yimin Chen;Yingxiang Hu;Haizhong Li
21 On real hypersurfaces of S 2 × S 2 期刊论文 Dong Gao;Zejun Hu;Hui Ma;Zeke Yao
22 The logarithmic Sobolev inequality for a submanifold in manifolds with asymptotically nonnegative sectional curvature 期刊论文 Yuxin Dong;Hezi Lin;Lingen Lu
23 AFFINE HYPERSURFACES WITH CONSTANT SECTIONAL CURVATURE 期刊论文 Antic Miroslava;Li Haizhong;Vrancken Luc;Wang Xianfeng
24 Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms 期刊论文 Shanze Gao;Hui Ma;Mingxuan Yang
25 Lagrangian Bonnet Problems in Complex Space Forms 期刊论文 He Huixia;Ma Hui;Wang Erxiao
26 Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds 期刊论文 Daguang Chen;Haizhong Li;Yilun Wei
27 The p-eigenvalue estimates and L p-harmonic forms on submanifolds of Hadamard manifolds 期刊论文 Hezi Lin;BiaoGui Yang
28 The Christoffel problem in the hyperbolic plane 期刊论文 Haizhong Li;Yao Wan
29 A class of weighted isoperimetric inequalities in hyperbolic space 期刊论文 Haizhong Li;Botong Xu
30 Inequalities for Eigenvalues of a System of Equations of Elliptic Operator in Weighted Divergence Form on Metric Measure Space 期刊论文 He Jun Sun;Da Guang Chen;Xu Yong Jiang
31 2021年度福建省科学技术奖 奖励 王长平;王鹏;王孝振
32 The Morse index of minimal products of minimal submanifolds in spheres 期刊论文 Changping Wang;Peng Wang
33 A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold 期刊论文 Li Haizhong;Xu Botong
34 Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds 期刊论文 Daguang Chen;Qing-Ming Cheng;Haizhong Li
35 Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in CP2 期刊论文 Dorfmeister Josef F.;Kobayashi Shimpei;Ma Hui
36 Gap theorems for submanifolds in Hn×R 期刊论文 Hezi Lin;Xuansheng Wang
37 Self-similar solutions to fully nonlinear curvature flows by high powers of curvature 期刊论文 Shanze Gao;Haizhong Li;Xianfeng Wang
38 Self-similar solutions of curvature flows in warped products 期刊论文 Shanze Gao;Hui Ma
39 Nonhomogeneous inverse Gauss curvature flow in ℍ³ 期刊论文 Haizhong Li;Tailong Zhou
40 Eigenvalue estimate of the Dirac operator and the Rigidity for Poincare-Einstein metrics 期刊论文 Daguang Chen;Fang Wang;Xiao Zhang
41 Talenti’s Comparison Theorem for Poisson Equation and Applications on Riemannian Manifold with Nonnegative Ricci Curvature 期刊论文 Daguang Chen;Haizhong Li
42 Vanishing theorems for complete Riemannian manifolds with nonnegative scalar curvature 期刊论文 Hezi Lin
43 Contracting Axially Symmetric Hypersurfaces by Powers of the sigma(k)-Curvature 期刊论文 Li Haizhong;Wang Xianfeng;Wu Jing
44 Geometric inequalities for hypersurfaces with nonnegative sectional curvature in hyperbolic space 期刊论文 Yingxiang Hu;Haizhong Li
45 Pinckall-Sterling猜想和超曲面几何的研究 奖励 李海中
46 Minimal Lagrangian submanifolds of the complex hyperquadric 期刊论文 Li Haizhong;Ma Hui;Van der Veken Joeri;Vrancken Luc;Wang Xianfeng
47 Comparison Results for Filtration Equations on Manifolds via Schwarz Rearrangements 期刊论文 Daguang Chen;Yilun Wei
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