个人简介:
罗勇,重庆理工大学数学科学研究中心教授。2007年6月本科毕业于武汉大学,2011年1月硕士毕业于中国科学院数学与系统科学研究院,导师为王友德研究员,2013年12月博士毕业于德国弗莱堡大学,导师为王国芳教授。2014年1月至2020年10月在武汉大学工作,历任师资博士后、讲师、副教授。2015年7月至2016年6月在德国莱比锡马克斯普朗克应用数学所做博士后,合作导师为德国自然科学院院士Jurgen Jost教授。2020年11月起在重庆理工大学工作。
罗勇的研究方向为微分几何与几何分析,近年来主要关注和研究子流形几何、曲率流的奇点分析、特征值问题等。
主持的科研项目:
2015.03-2016.12 中央高校基本科研基金,7万元
2015.06-2017.12 教育部留学回国人员科研启动基金,3万元
2015.05-2016.10 中国博士后科学基金面上资助(一等),8万元
2016.01-2018.12 国家自然科学基金青年基金,18万元
2021.10-2024.09 重庆市自然科学基金面上项目,10万元
2022.08-2024.08 重庆市博士“直通车”科研项目,10万元
2023.01-2026.12 国家自然科学基金面上项目,47万元
参与的科研项目:
2018.01-2021.12 国家自然科学基金面上基金,48万元,排名4/6
2022.10-2025.09 重庆市教委科学技术研究研究项目,4万元,排名2/2
2022.10-2025.09 重庆市教委科学技术研究研究项目,4万元,排名2/2
2024.07-2027.06 重庆市自然科学基金创新发展联合基金, 50万元,排名2/5
论文:
1. Energy identity and removable singularities of maps from a Riemann surface with tension field unbounded in L2 Pacific J. Math. 256(2012), no.2, 365--380
2. On conformal surfaces of annulus type, J. Differential Equations 253(2012), no. 12, 3266--3285
3. (with Y. Li and H. Tang) On the moving frame of a conformal map from 2-disk into Rn , Calc. Var. Partial Differential Equations 46(2013), 31--37
4. (with Chao Xia) Holder Regularity for equations of prescribed anisotropic mean curvature type, Manuscripta Math. 141(2013), 589--600
5. (with Jun Sun) Remarks on a Bernstein type theorem for entire Willmore graphs in R3 , J. Geom. Anal.(2014), no.3, 1613--1618
6. On solution sequences of the singular Liouville equations with an integral constraint, Acta. Math. Sinica(English series) 30(2014), 133--150
7. Weakly convex biharmonic hypersurfaces in nonpositive curvature space forms are minimal, Results Math. 65(2014), 49--56
8. On biminimal submanifolds in nonpositively curved manifolds, Differential Geom. Anal. 35(2014), 1--8.
9. (with Guofang Wang) On geometrically constrained variational problems of the Willmore functional I: the Lagrangian Willmore problem, Comm. Anal. Geom. 23(2015), no.1, 191--223
10. On biharmonic submanifolds in non-positively curved manifolds, J. Geom. Phys. 88(2015), 76--87
11. Liouville type theorems on complete manifolds and non-existence of bi-harmonic maps, J. Geom. Anal. 25(2015), 2436--2449
12. The maximal principle for properly immersed submanifolds and its applications, Geom. Dedicata 181(2016), 103--112
13. Remarks on the nonexistence of biharmonic maps, Arch. Math. 107(2016), 191--200
14. (with Xiangzhi Cao) On p-biharmonic submanifolds in nonpositively curved manifolds, Kodai Math. J. 39(2016), 567--578
15. (With Tao Huang, Lei Liu and Changyou Wang) Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary, J. Elliptic Parabol. Equ. 2(2016), 1--26
16. (with Shun Maeta) Biharmonic hypersurfaces in a sphere, Proc. Amer. Math. Soc.145(2017), 3109--3166
17. On Willmore Legendrian surfaces in S5 and the contact stationary Legendrian Willmore surfaces, Calc. Var. Partial Differential Equations 56(2017), no.3, 56:86, 19 pp
18. Contact stationary Legendrian surfaces in S5 , Pacific J. Math. 293(2018), no.1, 101--120
19. (with Bingqing Ma and Guangyue Huang) Gradient estimates for a nonlinear elliptic equation on a complete Riemannian manifold, Proc. Amer. Math. Soc. 146(2018), 4993--5002
20. (with Ye-Lin Ou) Some Remarks on Bi-f-Harmonic Maps and f-Biharmonic Maps, Results Math. 74(2019), 19 pp
21. Addendum to the article Contact stationary Legendrian surfaces in S5 , Pacific J. Math. 304(2020), no.2, 607--611
22. (with Volker Branding) A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds, J. Geom. Phys. 148(2020), 103557, 9 pp
23. (with Hongbing Qiu) A note on rigidity of spacelike self-shrinkers, Internat. J. Math. 31(2020), no.5, 2050035, 8 pp
24. (with Yingbo Han) Nonexistence of proper p-biharmonic maps and Liouville type theorems I: case of p ≥ 2 ,J. Elliptic Parabol. Equ. (2020), no.2, 409--426
25. (with Linlin Sun) Complete Willmore Legendrian surfaces in S5 are minimal Legendrian surfaces, Ann. Global Anal. Geom. (2020), no.2, 177--189
26. (with Linlin Sun ) Rigidity theorems for minimal Lagrangian surfaces with Legendrian capillary boundary. Adv. Math. 393 (2021), Paper No. 108124, 15 pp
27. (with Lin Lin Sun and Jiabin Yin) An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere. Calc. Var. Partial Differential Equations 61 (2022), no. 5, Paper No. 192, 18 pp
28. (with Jiabin Yin) On energy gap phenomena of the Whitney sphere and related problems. Pacific J. Math. 320 (2022), no. 2, 299--318
29.(with Jinchuan Bai)On complete hypersurfaces with constant scalar curvature n(n-1) in the unit sphere, Kodai Math. J. 46 (2023), no. 1, 51--61.
30. (with Linlin Sun and Jiabin Yin) Complete self-similar hypersurfaces to the mean curvature flow with nonnegative constant scalar curvature, Front. Math. 18 (2023), no.2, 417--430.
31.(with Jinchuan Bai) Remarks on gap theorems for complete hypersurfaces with constant scalar curvature, J. Math. Study 56 (2023), no. 3, 279--290.
32. (with Liuyang Zhang) On energy gap phenomena of the Whitney spheres in
or
, Chinese Ann. Math. Ser. B, to appear
33. (with Linlin Sun) Rigidity of closed CSL submanifolds in the unit sphere, Ann. Inst. H. Poincaré C Anal. Non Linéaire 40 (2023), no.3, 531--555.
34.(with Li Du) On minimality and scalar curvature of CMC triharmonic hypersurfaces in pseudo-Riemannian space forms, Ann. Mat. Pura Appl. (4) 203 (2024), no. 4, 1793--1808.