个人简介
硕士研究生指导教师,主要从事微分几何的研究工作,尤其是对黎曼空间中具有某些几何特征的子流形的分类和刻画问题进行了系统的研究。近几年,与国内外学者开展广泛交流与合作,先后赴北京大学数学学院、南开大学陈省身数学所等高水平科研机构交流与访问。
【教授课程】
本科生课程:微分几何,拓扑学,解析几何,高等数学
研究生课程:拓扑学、基础数学选讲
【科研项目】
1. 2019.01-2021.12,国家自然科学基金青年基金,11801246,单位球面中子流形的刚性和分类问题研究,主持人.
2. 2016.07-2019.01,辽宁省科学技术基金面上项目,201602528,Marginally Trapped 曲面的分类及其在宇宙黑洞中的应用,主持人.
3. 2014.07-2017.07, 辽宁省教育厅科学研究一般项目,L2014482,线性Weingarten超曲面的分类及其应用,主持人.
【荣誉与奖励】
1. 2016年,辽宁省自然科学学术成果奖,二等奖;
2. 2014年,辽宁省自然科学学术成果奖,三等奖;
3. 2014年,沈阳市自然科学学术成果奖,二等奖;
4. 2013年,辽宁省自然科学学术成果奖,三等奖;
5.2015年,辽宁省第九批“百千万人才工程”万人层次人选.
6. 美国数学会《Mathematical Reviews》评论员
近期论文
查看导师最新文章
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1. Dan Yang, Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature, Science China Math., 2018, https://doi.org/10.1007/s11425-017-9220-0
2. Dan Yang, Wei Dan, Yu Fu, A classification of minimal translation surfaces in Minkowski space, J. Nonlinear Sci. Appl.11, 437-443, 2018 .
3. Dan Yang, Some classifications of Weingarten translation hypersurfaces in Euclidean space, Bull.Math.Sci.Math.Roumanie Tome 61(109), 97-106, 2018.
4. Dan Yang, Yu Fu and Lan Li, The geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space L^3, Frontiers of Mathematics in China, 12(2):459-480, 2017.
5. Dan Yang, The Complete Classification of Product Shaped Hypersurfaces in Lorentz Space Forms, Publications de l'Institut Mathematique, 101(115): 223-230 , 2016.
6. Dan Yang and Yu Fu, On affine translation surfaces in affine spaces, J. Math. Anal. Appl., 440(2): 437-450, 2016.
7. Dan Yang and Lan Li, Spacelike submanifolds with parallel mean curvature vector in S^n+p, Mathematical Notes, 100(2), 298-308, 2016.
8. Dan Yang and Yu Fu, Biharmonic hypersurfaces in pseudo-Riemannian space forms, International Journal of Geometric Methods in Modern Physics, 13(7),1650094(14 pages), 2016.
9. Yu Fu and Dan Yang, On Lorentz GCR surfaces in Minkowski 3-space, Bull. Korean Math. Soc. 53 (1):227-245, 2016.
10. Dan Yang and Yu Fu, The classification of golden shaped hypersurfaces in Lorentz space forms, J. Math. Anal. Appl. 412, 1135-1139, 2014.
11. Dan Yang and Yu Fu, Classification of Lorentz surfaces with parallel mean curvature vector in non-flat pseudo-Riemannian space forms, Bull. Belg. Math. Soc. Simon Stevin, 20(4), 2013.
12. Dan Yang, Linear Weingarten spacelike hypersurfaces in locally symmetric Lorentz Space, Bull. Korean Math. Soc., 49(2), 271-284, 2012.
13. Dan Yang and Zhonghua Hou, Linear Weingarten spacelike submanifolds in de Sitter space, J. Geom., 103,177-190, 2012.
14. Yu Fu and Dan Yang, On constant slope spacelike surfaces in 3-dimensional Minkowski space, J. Math. Anal. Appl.385, 208-220, 2012.
15. Zhonghua Hou and Dan Yang, Minimal Surfaces in a Unit Sphere, Journal of Mathematical Research with Applications, 32(3) , 346-354, 2012.
16. Zhonghua Hou and Dan Yang, Classification of Lorentzian surfaces with parallel mean curvature vector in E_2^4, Acta Math. Hungar. , 128(1-2), 59-81, 2010.
17. Zhonghua Hou and Dan Yang, Linear Weingarten spacelike hypersurfaces in de Sitter space, Bull. Belg. Math. Soc. Simon Stevin, 17,769-780, 2010.
18. Bang-yen Chen and Dan Yang, Addendum to Classification of marginally trapped Lorentzian flat surfaces in E^4_2 and its application to biharmonic surfaces, J. Math. Anal. Appl., 361(2010), 280-282.
19. 杨丹,《伪黎曼空间中子流形几何的分类问题》,经济科学出版社,2015年9月.