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Id VisitTime IPAddress Area
24754294 2018-06-23 54.224.85.115 美国
24711617 2018-06-22 204.152.201.239 美国
24711615 2018-06-22 204.152.201.239 美国
24698483 2018-06-22 203.208.60.177 北京市
24698248 2018-06-22 203.208.60.175 北京市
24691671 2018-06-21 58.250.125.120 广东省深圳市
24623258 2018-06-20 123.126.113.129 北京市
24605274 2018-06-20 207.46.13.217 美国
24569866 2018-06-19 140.254.148.163 美国
24565494 2018-06-18 46.229.168.81 乌克兰
24565485 2018-06-18 69.30.210.122 美国
24564350 2018-06-18 58.250.125.109 广东省深圳市
24459857 2018-06-15 123.126.113.129 北京市
24432612 2018-06-14 27.17.238.168 湖北省武汉市
24412479 2018-06-14 141.8.142.49 欧洲和中东地区

Profile

Entao Zhao



Name Entao Zhao

Sex Male

Date and Place of Birth September 5, 1982; Shandong Linyi, China

Nationality China

Address Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, 310027, People’s Republic of China

Present Position Associate Professor in Center of Mathematical Sciences, Zhejiang University


Research Interests

Global differential geometry and geometric analysis

•Topological and differentiable sphere theorems for Riemannian manifolds and submanifolds

•Rigidity and pinching theorems for Riemannian manifolds and submanifolds

•Convergence and application of curvature flows


Education

2004–2009 Graduate student (Doctor, Advisors: Kefeng Liu and Hongwei Xu), Center of Mathematical Sciences, Zhejiang University, Hangzhou, China

2000–2004 Undergraduate student, Department of Mathematics, Qufu Normal University, Qufu, China


Working Experiences

2016–         Associate Professor in Center of Mathematical Sciences, Zhejiang University, Hangzhou, China

2011–2016 Lecturer in Center of Mathematical Sciences, Zhejiang University, Hangzhou, China

2014.02–2015.02 Postdoctoral Fellow, National Center for Theoretical Sciences, Taipei Office, Taiwan

2011.10-2011.12 Junior visitor, Mathematical Sciences Center, Tsinghua University, Beijing, China

2009-2011 Postdoctor in College of Sciences, Zhejiang University, Hangzhou, China


Invited Conference Talks

2011.12  Second Conference of Tsignhua Sanya International Mathematics Forum, Sanya, China

2011.12  The 10th Pacific Rim Geometry Conference, Osaka-Fukuoka, Japan

2012.05  Workshop on Geometric Analysis, Zhejiang University, Hangzhou, China

2013.07  The Sixth International Congress of Chinese Mathematicians, Taiwan University, Taipei

2013.09  The 9th Geometry Conference for the Friendship of China and Japan, Hokkaido University, Sapporo, Japan

2015.06 Workshop on submanifolds and related topics, Fudan University, Shanghai, China. 

2016.1.18-2016.1.22 Young Geometric Analysts' Forum 2016, Sanya, China

2016.7.20-2016.7.22 Workshop for young scholars on geometric analysis, USTC,Hefei, China

2017.8.26-2017.8.30 Conference on variation in differential geometry, Fudan University-Tongji University, Shanghai, China

2017.12.27-2.17.12.29 The first annual meeting of International Consortium of Chinese Mathematicians, Sun Yat-Sen University, Guangzhou


Conferences Attended

2007.12  The Fourth International Congress of Chinese Mathematicians, Zhejiang University, Hangzhou, China

2010.12  The Fifth International Congress of Chinese Mathematicians, Tsinghua University, Beijing, China

2011.08  International Conference on Differential Geometry, Capital Normal University, Beijing, China

2012.11  Workshop on Trends in Differential Geometry and Geometric Analysis, Zhejiang University, Hangzhou, China

2016.08  The Seventh International Congress of Chinese Mathematicians, Chinese Academy of Sciences and Tsinghua University, Beijing, China

2016.10.27-2016.10.31 The 5th workshop on geometry and topology of submanifolds, Tsinghua University, Beijing, China

2017.10.12-2016.10.16 The 6th workshop on geometry and topology of submanifolds, Wuhan University, Wuhan, China

2017.11.03-2017.11.06 2017 forum of young scholars in submanifold geometry in Hangzhou, Hangzhou Normal University, Hangzhou, China



Publications

  1. The extension and convergence of mean curvature flow in higher codimension, Trans. Amer. Math. Soc., 370(2018), 2231-2262, joint with Kefeng Liu, Hongwei Xu and Fei Ye.

  2. Gap theorems for complete lambda-hypersurfaces, Pacific Journal of Mathematics, 288(2017), 453-474, joint with Huijuan Wang and Hongwei Xu.

  3. Contracting pinched hypersurfaces in spheres by their mean curvature, Pure and Applied Mathematics Quarterly, 11(2015), 329-368, joint with Yan Li and Hongwei Xu.

  4. The asymptotic behavior of symplectic mean curvature flow with pinched curvatures in CP2, J. Math. Anal. Appl., 434(2016), 633-637, joint with Shunjuan Cao and Xi Zhang.

  5. First eigenvalue pinching for Euclidean hypersurfaces via k-th mean curvatures, Ann. Glob. Anal. Geom., 48(2015), 23-35, joint with Yingxiang Hu and Hongwei Xu.

  6. A gap theorem for minimal submanifolds in Euclidean space, C. R. Acad. Sci. Paris, Ser. I, 353(2015), 173-177, joint with Shunjuan Cao.

  7. Differentiable pinching theorems for submanifolds via Ricci flow, Tohoku Math. J., 67(2015), 531-540, joint with Hongwei Xu and Fei Huang.

  8. Some recent progress on mean curvature flow of arbitrary codimension, Proceedings of Sixth International Congress of Chinese Mathematicians, Vol. II, ALM 37, 2016,  115-131, joint with Kefeng Liu and Hongwei Xu.

  9. A survey on rigidity problems in geometry and topology of submanifolds, Proceedings of Sixth International Congress of Chinese Mathematicians, Vol. II, ALM 37, 2016, 79-99, joint with Juanru Gu, Hongwei Xu and Zhiyuan Xu.

  10. Notes on the extension of the mean curvature flow, Pacific J. Math., 269(2014), 385-392, joint with Yan Leng and Haoran Zhao.

  11. Volume-preserving mean curvature flow of hypersurfaces in space forms, Internat. J. Math., 25(2014), 1450021, 19 pp, joint with  Hongwei Xu and Yan Leng.

  12. Open problems in differential geometry, In Open problems and surveys of contemporary mathematics, 397-477, Surv. Mod. Math., 6, Int. Press, Somerville, MA, 2013. 53-02, joint with Shing-Tung Yau, Hui Ma, Chug-Jun Tsai and Mu-Tao Wang.

  13. Mean curvature flow of higher codimension in hyperbolic spaces, Comm. Anal. Geom., 21(2013), 651-669, joint with Kefeng Liu, Hongwei Xu and Fei Ye.

  14. Geometric and differentiable rigidity of submanifolds in spheres, J. Math. Pures Appl., 99(2013), 330-342, joint with Hongwei Xu and Fei Huang.

  15. Extend mean curvature flow with finite integral curvature, Asian J. Math., 54(2011), 2195-2204, joint with Hongwei Xu and Fei Ye.

  16. The extension for mean curvature flow with finite integral integral curvature in Riemannian manifolds, Sci. China Math., 15(2011), 549-556, joint with Hongwei Xu and Fei Ye.

  17. Lp Ricci curvature pinching theorems for conformally flat Riemannian manifolds, Pacific J. Math., 245(2010), 381-396, joint with Hongwei Xu.

  18. Complete hypersurfaces in a 4-dimensional hyperbolic space, Appl. Math. J. Chinese Univ. Ser. B, 24(2009), 370-378, joint with Hongwei Xu.

  19. Topological and differentiable sphere theorems for complete submanifolds, Comm. Anal. Geom., 17(2009), 565-585, joint with Hongwei Xu.


Preprints

  1. On the compactness of hypersurfaces with finite total curvature via mean curvature flow, joint with Shunjuan Cao, submitted.

  2. Pinching theorems for self-shrinkers of higher codimensions, joint with Shunjuan Cao and Hongwei Xu.

  3. Submanifolds with parallel Gaussian mean curvature vector in Euclidean spaces, joint with Huijuan Wang and Hongwei Xu, submitted.

  4. Mean curvature flow of higher codimension in Riemannian manifolds, arXiv:1204.0107, 2012, joint with Kefeng Liu and Hongwei Xu.

  5. Deforming submanifolds of arbitrary codimension in a sphere, arXiv:1204.0106v1, 2012, joint with Kefeng Liu and Hongwei Xu.

  6. A finiteness theorem for submanifolds with Lp-bounded second fundamental form, 2011, joint with Hongwei Xu.

  7. Yamabe flow on locally conformally flat manifolds with small total curvature, 2010,  joint with Hongwei Xu and Fei Huang.

  8. A characterization of Clifford hypersurface,  joint with Hongwei Xu.

Research work

Global differential geometry and geometric analysis