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更新时间：2024.08.20
总访问量：10

顾娟如

| 博士 副教授 请选择

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职务：

研究方向：

办公地址： 屏峰校区理A312

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电子邮箱： gujuanru@zjut.edu.cn
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  • 个人简介

    一直从事整体微分几何与几何分析研究，相关成果发表在《J. Differential Geom.》、《Geom. Funct. Anal.》、《Math. Ann.》、《Math. Res. Lett.》、《Comm. Anal. Geom.》、《Proc. Amer. Math. Soc.》、《Science China Math.》、《Chin. Ann. Math. Ser. B》等国内外刊物。先后主持承担国家自然科学基金面上项目和青年项目各一项、中国博士后科学基金特别资助项目和面上项目各一项。

  • 教学与课程

    主要承担本科生的《线性代数》、《解析几何》、《微分几何》和研究生的《微分流形》等课程。


  • 科研成果

    1. H. W.  Xu, L. Lei, J. R. Gu , Generalized Ejiri's rigidity theorem for submanifolds in pinched manifolds, Chin. Ann. Math., Ser. B, 2020, 41(2): 285-302. 

    2. J.R. Gu, H. W. Xu, The topological sphere theorem for odd-dimensional compact submanifolds with pinched Ricci curvature Proceedings of the 7th International Congress of Chinese   Mathematicians, Vol.II, ALM 44, HEP/IP, 2019, pp. 253-268.

    3.  J.R.Gu and H.W.Xu, A sharp differentiable pinching theorem for submanifolds in space forms, Proc. Amer. Math. Soc., 144(2016), 337-346.

    4.  H.W.Xu, L.Lei and J.R.Gu, On Yau rigidity theorem for submanifolds in pinched manifolds, Pure Appl. Math. Q., 12(2016), 301-303.

    5.  J.R.Gu, Y.Leng and H.W.Xu, Rigidity of closed submanifolds in a locally symmetric Riemannian manifold, Appl. Math. J. Chinese Univ. Ser.B, 31(2016), 237-252.  

    6.  J.R.Gu,H.W.Xu, Z.Y.Xu and E.T.Zhao, A survey on rigidity problems in geometry and topology of submanifolds, Proceedings of the 6th International Congress of Chinese   Mathematicians, Vol.II, ALM 37, HEP/IP, 2016, pp. 79-99

    7.  H.W.Xu and J.R.Gu, Rigidity of Einstein manifolds with positive scalar curvature, Math. Ann., 358(2014), 169-193.

    8.  H.W. Xu, Y. Leng and J.R.Gu, Geometric and topological rigidity for compact submanifolds of odd dimension, Sci. China Math., 57(2014), 1525-1538.    

    9.    H.W.Xu and J.R.Gu, Geometric, topological and differentiable rigidity of submanifolds in space froms, Geom. Funct. Anal., 23(2013), 1684-1703.  

    10.   J.R. Gu and H.W. Xu, The sphere theorems for manifolds with positive scalar curvature, J.  Differential Geom., 92(2012), 507-545.

    11    J.R.Gu and H.W.Xu, On Yau rigidity theorem for minimal submanifolds in spheres, Math. Res. Lett., 19(2012), 511-523.

    12.   H.W.Xu and J.R.Gu, The differentiable sphere theorem for manifolds with positive Ricci curvature, Proc. Amer. Math. Soc., 140(2012), 1011-1021.

    13.   H.W.Xu, F. Huang, J.R.Gu and M.Y.He, Ln/2 pinching theorem for submanifolds with parallel mean curvature in Hn+p(-1), Pure Appl. Math. Q., 8(2012), 1097- 1116.

    14.   H.W.Xu and J.R.Gu, An optimal differentiable sphere theorem for complete manifolds, Math. Res. Lett., 17(2010), 1111-1124.

    15.   H.W.Xu and J.R.Gu, A general gap theorem for submanifolds with parallel mean curvature in Rn+p, Comm. Anal. Geom., 15(2007), 175-194.

    16.  H.W.Xu and J.R.Gu, L2-isolation phenomenon for complete surfaces arising from Yang-Mills theory, Lett. Math. Phys.,  80(2007), 115-126.               


  • 个人简介

    一直从事整体微分几何与几何分析研究，相关成果发表在《J. Differential Geom.》、《Geom. Funct. Anal.》、《Math. Ann.》、《Math. Res. Lett.》、《Comm. Anal. Geom.》、《Proc. Amer. Math. Soc.》、《Science China Math.》、《Chin. Ann. Math. Ser. B》等国内外刊物。先后主持承担国家自然科学基金面上项目和青年项目各一项、中国博士后科学基金特别资助项目和面上项目各一项。

  • 教学与课程

    主要承担本科生的《线性代数》、《解析几何》、《微分几何》和研究生的《微分流形》等课程。


  • 科研成果

    1. H. W.  Xu, L. Lei, J. R. Gu , Generalized Ejiri's rigidity theorem for submanifolds in pinched manifolds, Chin. Ann. Math., Ser. B, 2020, 41(2): 285-302. 

    2. J.R. Gu, H. W. Xu, The topological sphere theorem for odd-dimensional compact submanifolds with pinched Ricci curvature Proceedings of the 7th International Congress of Chinese   Mathematicians, Vol.II, ALM 44, HEP/IP, 2019, pp. 253-268.

    3.  J.R.Gu and H.W.Xu, A sharp differentiable pinching theorem for submanifolds in space forms, Proc. Amer. Math. Soc., 144(2016), 337-346.

    4.  H.W.Xu, L.Lei and J.R.Gu, On Yau rigidity theorem for submanifolds in pinched manifolds, Pure Appl. Math. Q., 12(2016), 301-303.

    5.  J.R.Gu, Y.Leng and H.W.Xu, Rigidity of closed submanifolds in a locally symmetric Riemannian manifold, Appl. Math. J. Chinese Univ. Ser.B, 31(2016), 237-252.  

    6.  J.R.Gu,H.W.Xu, Z.Y.Xu and E.T.Zhao, A survey on rigidity problems in geometry and topology of submanifolds, Proceedings of the 6th International Congress of Chinese   Mathematicians, Vol.II, ALM 37, HEP/IP, 2016, pp. 79-99

    7.  H.W.Xu and J.R.Gu, Rigidity of Einstein manifolds with positive scalar curvature, Math. Ann., 358(2014), 169-193.

    8.  H.W. Xu, Y. Leng and J.R.Gu, Geometric and topological rigidity for compact submanifolds of odd dimension, Sci. China Math., 57(2014), 1525-1538.    

    9.    H.W.Xu and J.R.Gu, Geometric, topological and differentiable rigidity of submanifolds in space froms, Geom. Funct. Anal., 23(2013), 1684-1703.  

    10.   J.R. Gu and H.W. Xu, The sphere theorems for manifolds with positive scalar curvature, J.  Differential Geom., 92(2012), 507-545.

    11    J.R.Gu and H.W.Xu, On Yau rigidity theorem for minimal submanifolds in spheres, Math. Res. Lett., 19(2012), 511-523.

    12.   H.W.Xu and J.R.Gu, The differentiable sphere theorem for manifolds with positive Ricci curvature, Proc. Amer. Math. Soc., 140(2012), 1011-1021.

    13.   H.W.Xu, F. Huang, J.R.Gu and M.Y.He, Ln/2 pinching theorem for submanifolds with parallel mean curvature in Hn+p(-1), Pure Appl. Math. Q., 8(2012), 1097- 1116.

    14.   H.W.Xu and J.R.Gu, An optimal differentiable sphere theorem for complete manifolds, Math. Res. Lett., 17(2010), 1111-1124.

    15.   H.W.Xu and J.R.Gu, A general gap theorem for submanifolds with parallel mean curvature in Rn+p, Comm. Anal. Geom., 15(2007), 175-194.

    16.  H.W.Xu and J.R.Gu, L2-isolation phenomenon for complete surfaces arising from Yang-Mills theory, Lett. Math. Phys.,  80(2007), 115-126.               


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更新时间：2024.08.20
总访问量：10