Hongwei Xu(许洪伟)
Professor
Department of Mathematics
College of Science
Zhejiang University
Hangzhou , Zhejiang
P. R. China


Phone: +86-0571-87953121

Email: xuhw@cms.zju.edu.cn

Publications

[1]

H. W. Xu (with E. T. Zhao), Topological and differentiable sphere theorems for complete submanifolds, to appear in Comm. Anal. Geom., 2009.

[2]

H. W. Xu (with E. T. Zhao), L^p Ricci curvature pinching theorems for conformally flat Riemannian manifolds, to appear in Pacific J. Math., 2009.

[3]

H. W. Xu (with H. P. Fu), Total curvature and L^2 harmonic 1-forms on complete submanifolds in space forms, to appear in Geometria Dedicata, 2009.

[4]

H. W. Xu (with H. P. Fu), Weakly stable constant mean curvature hypersurfaces, Appl. Math. J. Chinese Univ., 24(1), 2009.

[5]

H. W. Xu (with X. Ren), Closed hypersurfurfaces with constant mean curvature in a symmetric manifold, Osaka J. Math., 45(3), 2008.

[6]

H. W. Xu (with H. P. Fu), Vanishing and topological sphere theorems for submanifolds in a hyperbolic space, Intern. J. Math., 19(7), 2008.

[7]

H. W. Xu (with J. R. Gu), A general gap theorem for submanifolds with parallel mean curvature in R^{n+p}, Comm. Anal. Geom., 15(1), 2007.

[8]

H. W. Xu (with S. M. Wei), Scalar curvature of minimal hypersurfaces in a sphere, Math. Res. Lett., 14(3), 2007.

[9]

H. W. Xu (with J. R. Gu), L^2-isolation phenomenon for complete surfaces arising from Yang-Mills theory, Lett. Math. Phys., 80, 2007.

[10]

H. W. Xu (with N. Q. Xie), Geometric inequalities for certain submanifolds in a pinched Riemannian manifold, Acta Math. Scientia, 27(3), 2007.

[11]

H. W. Xu (with W. Fang and F. Xiang), A generalization of Gauchman's rigidity theorem, Pacific J. Math., 228, 2006.

[12]

H. W. Xu (with L. Ji, J. S. Li and S. T. Yau), Lie Groups and Automorphic Forms, AMS/IP, Studies in Anvanced Math., 37, 2006.

[13]

H. W. Xu (with X. Ren), A lower bound for the first eigenvalue with mixed boundary condition, Appl. Math. J. Chinese Univ., 19(2), 2004.

[14]

H. W. Xu (with K. Shiohama), Rigidity and sphere theorems for submanifolds II, Kyushu J. Math., 54(1), 2000.

[15]

H. W. Xu (with K. Shiohama), A general rigidity theorem for complete submanifolds, Nagoya Math. J., 150(2), 1998.

[16]

H. W. Xu (with K. Shiohama), Lower bound for L^{n/2} curvature norm and its application, J. Geom. Analysis, 7(3), 1997.

[17]

H. W. Xu (with K. Shiohama), The topological sphere theorem for complete submanifolds, Compositio Math., 107(2), 1997.

[18]

H. W. Xu, On closed minimal submanifolds in pinched Riemannian manifolds, Trans. Amer. Math. Soc., 347(5), 1995.

[19]

H. W. Xu (with K. Shiohama), Rigidity and sphere theorems for submanifolds I, Kyushu J. Math., 48(3), 1994.

[20]

H. W. Xu, L_{n/2} pinching theorems for submanifolds with parallel mean curvature in a sphere, J. Math. Soc. Japan, 46(3), 1994.

[21]

H. W. Xu, Estimates of higher eigenvalues for minimal submanifolds, Differential Geometry, World Scientific, Singapore, 1993.

[22]

H. W. Xu, A rigidity theorem for submanifolds with parallel mean curvature in a sphere, Arch. der Math., 61(5), 1993.

[23]

H. W. Xu, A pnching constant of Simons' type and isometric immersion, Chinese Ann. Math., 12(3), 1991.