許義容（Yi-Jung Hsu）副教授

聯絡方式

• Email: yjhsu@math.nctu.edu.tw
• 電話:
• 傳真: 03-572-4679
• 地址: 新竹市大學路1001號 交通大學 應用數學系
• 相關網站:    

近兩學期教授課程

• 113 學年度第一學期：
  • 幾何學
  • 拓樸學


• 113 學年度第二學期：
  • 微積分甲(二)

履歷

• 學歷
  • 國立清華大學 數學系 博士 1982/08 - 1986/06
• 學術專長暨研究領域
  • 微分幾何
• 學術經歷與榮譽

  大華工專 講 師 (1981 - 1982)
  國立交通大學 應用數學系 副教授 (1986 - )



• 近五年研究計劃
  • 三維球中Willmore球面與環面之分類(96-2115-M-009-006-)
  • Willmore 曲面結構之探討(95-2115-M-009-018-)
  • Willmore 曲面的點態估計之間隙(94-2115-M-009-014-)
  • Willmore 演進方程之等高集描述(93-2115-M-009-016- )
  • Willmore 曲面之保角估計(92-2115-M-009-015- )
  • Willmore 擴散之有限時間奇異現象(91-2115-M-009-010- )

研究趣向

主要有興趣之研究方向為：

1. 黎曼流形之子流形；極小曲面、常曲率子流形。
2. Laplace算子之固有值。
3. 調和映射。
4. 預設均曲率問題。

著作選集

(A)   Refereed Papers：

1. Yu-Chung Chang and Yi-Jung Hsu, 2006, A pinching theorem for conformal classes of Willmore surfaces in the unit n-sphere, Bull. Inst. Math. Academia Sinica, 2, 231-261.
2. Yi-Jung Hsu and Yu-Chung Chang, “Willmore Surfaces in the Unit n-Sphere”. Taiwanese Journal of Mathematics, 3, 467-476 (2004). (SCI)
3. YI-JUNG HSU and TAI-HO WANG, “A global pinching theorem for surfaces with constant mean currvature in S³”, Proceedings of the Amer. Math. Soc., 157-161 (2001)
4. YI-JUNG HSU and TAI-HO WANG, “Inequalities between Dirichlet and Neumann eigenvalues for domains in spheres”, Taiwan J. of Math., 755-766 (2001)
5. Yi-Jung Hsu, Sheng-Jong Shian and Tai-Ho Wang, 2000, Graphs with prescribed mean curvature in the sphere, Bull. Inst. Math. Academia Sinica, 4, 215-223.
6. LIN-AN CHEN, YI-JUNG HSU and YUANG-CHIN CHIANG, “Multivariate polynomial spline spaces”, Rocky Mountain J. of Math., 789-806 (1999)
7. YI-JUNG HSU, A characterization for surfaces of constant curvature by eigenfunctions, Proc. Natl. Sci. Counc. ROC(A), 1-7.(1998)
8. Chun-Chieh Fu, Yi-Jung Hsu, 1993, Inequalities between Dirichlet and Neumann eigenvalues for domains in the n-sphere, Chinese J. of Math., 217-226.
9. YI-JUNG HSU, 1992, A characterization of surfaces of constant curvature by eigenfunctions, Chinese J. of Math., 343-346.
10. H. H. CHEN, YI-JUNG HSU, 1991, On Redheffer's type theorems in differential inequalities on manifolds, Bull. Inst. Math. Academia Sinica, 1-10.
11. YI-JUNG HSU,1991, A global pinching theorem for compact minimal surfaces in the 3-sphere, Proceeding of the Amer. Math. Soc., 1041-1044.
12. YI-JUNG HSU, 1990, Upper bounds of λ₂-λ₁, Chinese J. of Math., 161-173.
13. YI-JUNG HSU, 1988, A Note on compact minimal hypersurfaces in spheres, Chinese J. of Math., 123-128.
14. YI-JUNG HSU, 1986, The Scalar curvature on complex hypersurfaces in CPⁿ⁺¹, Chinese J. of Math., 249-256.

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