于海鸥

发布者:发布时间:2025-11-10浏览次数:

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于海鸥,女,1982年8月出生,讲师,东北师范大学数学与统计学院微分几何学专业博士,日本北海道室兰工业大学访问学者。

主要课程:微积分、解析几何、拓扑学等

主要研究方向:微分几何、奇点理论

代表成果:

1.论文

[1]T. Fukui,R. Kinoshita,D. Pei,M. Umehara,H. Yu. Cuspidal edges and generalized cuspidal edges in the Lorentz-Minkowski 3-space. To appear in Advanced Studies of Pure Mathematics. (2025)

[2] M. Takahashi, H. Yu. Spherical framed surfaces and dual surfaces in the 3-dimensional sphere, accepted. To appear in Hokkaido Mathematical Journal. (2024)

[3] M. Takahashi, H. Yu. On generalised framed surfaces in the Euclidean space.

AIMS Mathematics. Vol. 9 (7) (2024)

[4] S. Honda, M. Takahashi, H. Yu. Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space. Journal of Geometry. Vol. 114 (12) (2023)

[5] M. Takahashi, H. Yu. Bertrand and Mannheim curves of spherical framed curves in a three-dimensional sphere. Mathematics. Vol. 10, no. 8, 1292 (2022)

[6] M. Takahashi, H. Yu. Envelopes of families of framed surfaces and singular solutions of first order partial differential equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Vol. 151 (2021)

[7] D. Pei, M. Takahashi, H. Yu. Envelopes of one-parameter families of framed curves in the Euclidean space. Journal of Geometry. Vol. 110 (2019)

[8] Y. Li, D. Pei, M. Takahashi, H. Yu. Envelopes of Legendre curves in the unit spherical bundle over the unit sphere. The Quarterly Journal of Mathematics. Vol. 69 (2018)

[9] H. Yu, D. Pei, X. Cui. Evolutes of fronts on Euclidean 2-sphere. Journal of Nonlinear Science Applications. Vol. 8 (2015)

2.科研项目

3维空间型中奇异子流形的几何性质研究,吉林省教育厅科技项目,2.5万,主持人, 2023

3.学术专著

《勒让德曲线与标架曲线的微分几何》,吉林大学出版社,2023

4.奖励

吉林财经大学“青年教师之星”, 2022

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