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个人简介

1980年生,浙江桐乡,群众,, 教育背景与工作经历 1. 2016.01-至今, 浙江工业大学理学院, 助理研究员、校聘副教授、副教授 2. 2015.10-2015.12, 浙江大学数学科学研究中心, 助理研究员 3. 2011.07-2015.09, 浙江大学数学科学研究中心与物理系, 博士后 4. 2008.09-2011.06, 浙江大学基础数学, 博士 5. 2003.09-2006.03, 浙江大学基础数学, 硕士 6. 1999.09-2003.07, 浙江师范大学数学与应用数学, 学士 主持项目: 1. 国家自然科学基金面上项目, 流形的几何刚性、拓扑刚性和微分刚性研究(批准号:11771394), 2018.01-2021.12,在研 2. 国家自然科学基金青年项目, 稳定流、曲率流与球面定理(批准号:11301476), 2014.01-2016.12, 已结题 3. 中国博士后科学基金特别资助项目, 稳定流、曲率流与球面定理(批准号:2013T60582),2013.06-2015.05, 已结题 4. 中国博士后科学基金面上项目, 黎曼流形上几何与拓扑的若干研究(批准号:2012M521156),2012.10-2014.12, 已结题 成果 1. 黎曼子流形的几何结构与拓扑结构研究(排名:2/5 ),教育部自然科学奖,二等奖, 2018.2.27 2. Geometric,topological and differentiable rigidity of submanifolds in space forms, Geometric and Functional Analysis, 23(2013), no.5, 1684-1703, 世界华人数学家联盟最佳论文奖(若琳奖), 2017.12.27 3. Rigidity of Einstein manifolds with positive scalar curvature, Mathematische Annalen, 358(2014), no. 1-2, 169-193, 世界华人数学家联盟最佳论文奖(若琳奖), 2017.12.27 4. 浙江省2011年优秀博士学位论文(论文题目:流形上几何与拓扑的若干问题研究), 浙江省优秀研究生学位论文,2013.7.9

研究领域

整体微分几何与几何分析

近期论文

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1. 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. 2. 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. 3. 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. 4. 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 5. H.W.Xu and J.R.Gu, Rigidity of Einstein manifolds with positive scalar curvature, Math. Ann., 358(2014), 169-193. 6. 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. 7. H.W.Xu and J.R.Gu, Geometric, topological and differentiable rigidity of submanifolds in space froms, Geom. Funct. Anal., 23(2013), 1684-1703. 8. J.R. Gu and H.W. Xu, The sphere theorems for manifolds with positive scalar curvature, J. Differential Geom., 92(2012), 507-545. 9. J.R.Gu and H.W.Xu, On Yau rigidity theorem for minimal submanifolds in spheres, Math. Res. Lett., 19(2012), 511-523. 10. 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. 11. 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. 12. H.W.Xu and J.R.Gu, An optimal differentiable sphere theorem for complete manifolds, Math. Res. Lett., 17(2010), 1111-1124. 13. 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. 14. 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. 1. 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. 2. 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. 3. 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. 4. 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 5. H.W.Xu and J.R.Gu, Rigidity of Einstein manifolds with positive scalar curvature, Math. Ann., 358(2014), 169-193. 6. 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. 7. H.W.Xu and J.R.Gu, Geometric, topological and differentiable rigidity of submanifolds in space froms, Geom. Funct. Anal., 23(2013), 1684-1703. 8. J.R. Gu and H.W. Xu, The sphere theorems for manifolds with positive scalar curvature, J. Differential Geom., 92(2012), 507-545. 9. J.R.Gu and H.W.Xu, On Yau rigidity theorem for minimal submanifolds in spheres, Math. Res. Lett., 19(2012), 511-523. 10. 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. 11. 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. 12. H.W.Xu and J.R.Gu, An optimal differentiable sphere theorem for complete manifolds, Math. Res. Lett., 17(2010), 1111-1124. 13. 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. 14. 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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