个人简况 

陆启铿，男，1927年5月生于广东佛山，数学家 

1980年当选为中国科学院院士  

1950年毕业于中山大学。主要从事多复变函数论、数学物理学等方面的研究并取得多项重要成果。50年代发表了《Schwarz引理及解析不变量》论文，是国际上较早地讨论多复变函数Schwarz引理的工作，引入了Schwarz解析不变量的概念；与华罗庚合作发表了《典型域的调和函数论》论文，建立了典型域上调和函数的系统理论。1966年提出了常曲率的有界域解析等价于单位超球的论述，并提出了一个问题被称为"陆启铿猜想"。70年代指出物理上规范场与数学上的主纤维丛的联络的关系，证明杨振宁的规范场的积分定义等价于沿一曲线的平行移动；80年代以来，提出一个系统的方法，可具体地构造非紧对称空间的热核。 

研究方向：多复变、数学物理

主要成果：

发表论著：

1.       多复变函数与酉几何，数学进展, (4), 2(1956), 587-662.

2.   Privalov定理的拓广，数学学报，（1）, 7(1957), 144-165. (钟同德合作).

3.   Schwarz lemma and analytic invariants, Scientia Sinica, (5), 7(1958),453-504.

4.   Explicit formula of the infinitesimal connection for a continuous representation of GL(n, R),Science Record, (7), 3(1959), 296-300.

5.   Slit space and extremal principle, Science Record , (7), 3(1959) , 289-294.

6.   Theory of harmonic functions in classical domains, Scientia Sinica, (10), 8(1959), 1031-1094. (& L.K.Hua)

7.   关于可递域的一个注记，科学学报，（1），11（1961）,11-23,（与许以超合作）

8.   多复变函数引论，科学出版社，1961，vi+170页.

9.   On a class of homogeneous complex manifolds, Scientia Sinica, (6), 11(1962), 723-751.

10. 典型流形与典型域，上海科学出版社，1963，iii+376页.

11. A note on the Cauchy-Fantappie formula. Scientia Sinica,(4), 14 (1965), 624-620.

12. On the complete Kaehler manifolds with constant unitary curvature, Scientia Sinica, (6),14(1965), 921-927.

13. 关于常曲率的Kaehler流形，数学学报，(2). 16(1966), 269-281.

14. 规范场与主纤维丛上的联络，物理学报(4), 23(1974), 249-263.

15. 典型时空中的运动效应和宏观红移现象，物理学报(4), 23(1974), 225-238(与邹振隆、郭汉英合作).

16. 食变双星偏食光变曲线介,中国科学, (1), (1978), 71-83, (与陈建生、邹振隆合作).

17. The estimation of the intrinsic derivatives of the analytic mapping of bounded domains, Scientia Sinica, Special series II, (1979), 1-17.

18. On the Schwarz lemma of complete Kaehler manifolds, Scientia Sinica, (II), 22 (1979) , 1038-1048 (with C. Z. Chen, Siu-yuen Cheng).

19. The right-translation invariant metric and variational principles on a principal fibre bundle, Proc. of the 1980 Conference of Theoretical Particle Physics, 988-1005 (与吴咏时合作).

20. 微分几何学及其在物理学中的应用. 科学出版社, 北京, 1982.

21. A formulation of nonlinear gauge theory and its applications. Proc. 3d M.Grossmann Meeting on general Relativity, vol. I, 89-116, Sci. Press and North Holland Publ. Co.,1983; Commun. in Theory. Phys. (Beijing, China), (2), 2(1983), 1029-1038 (与郭汉英、吴可合作).

22. A Note on the extrenum of sectional curvature of a Kaehler manifold, Scientia Sinica, Series A, 27(1984), 367-374.

23. On the representative domain, Proceedings 1981 Hangzhou Conference, 199-210, Birkhaeuser, 1984.

24. The Green forms and Cauchy formulas of a Kaehler manifoldd, Chinese Quart. J.Math,2(1987), 1-12.

25. The various kernels in classical domains and classical manifolds, vol II, 199- 211,Proc. Intern. Symp. in memory of Hua Loo- keng, Sci. Press and Springer- Verlag, 1991.

26. The the theory of functions of several complex variables in China from 1949 to 1989, Contemporary Geometry, pp.53-91, Plenum Press, New York, 1991.

27. The heat kernel of the classical domain I (m,n), Proc. Mittag-Leffler Institute, chapt.25, pp. 483-506, Math. Notes, Princeton Univ. Press, 1993.

28. The heat kernels of symmetric spaces, Proc. Symposium in Pure Math., vol.54, (1993), Part II,401-409.

29. On the Cauchy-Fantappie formula and the solution of \bar{\partial}-equation, Differential Geometry, Proc. Symposium in Honor of Prof. SU Buchin on his his 90th Birthday, pp.137-149, ed. By Gu-Hu-Xin, World Scientific, Singapore, 1993.

30. On non-linear gauge theory, Interface Between Physicx and Mathematics, ed. by W. Nahm and J. Shen, 138-153, World Scientific, Singapore, 1994.

31. The horo-hypercircle coordinate and its application, Chinese Science Bulletin, No.3, 40(1995), 92-95.

32. A matrix formulation of the complex flag manifold, Five Decades As A Mathematician and Educator (on the 80th birthday of Prof. Yung-Chou Wong), ed. by K.-Y. Chan and M.-C. Liu, 259-277, World Scientific, Singapore, 1995.

33. The real horo-hypercircle coordinate, Chinese Science Bulletin, No7, 41 (1996).

34. The horo-hypercircle coordinates and their application to the contruction of a heat kernel. Study in Advanced Math. vol.5: Singularity and Complex Geometry, ed. Qi-keng Lu, Stephen S. T. Yau and A. Libgober, 131-174, AMS/IP, 1997.

35. 典型流形与典型域，上海科技出版社，1997，iii+367.

36. The mass term in the Lagrangian of nonlinear gauge theory (to appear in Proc. Intern Conference on Frontier of Physic, Joint Meeting on Chinese Physical Societies, Shantou, 1995).

37. The Yang-Mills field on the Minkowski space, Science in China, 41 (1998), 1061-1067.

38. The unitary connections on the complex Grassmann manifold, Science in China(Series A),41(1998), 1248-1254.

39. A note on self-dual and anti-self-dual gauge field, System Science and Mathematical Science, 12 Suppl.(1999), 70-73.

40. Global geometric properties of AdS space and the AdS/CFT correspondence(joint work with Chang Zhe & Gou Hanying), Science in China, A44(6)(2001), 690-695.

41. A global solution of Einstein-Yang-Millis equations on the conformal space, Science in China, Series A, 5(2002). 343-355.

42. Global solutions of Einstein-Dirac equation on the conformal space (joint work with Wang Shikun & Wu ke), Asian J. Math., 8(2004), 1-26.

43. Hua Operator on vector bundle: Application to AdS/CFT correspondence of Dirac fields, Science in China, Ser. A Mathematics, 48(2005), 413-431.

44. On the quaternion ball and the quaternion projective space, Acta Mathematica Sinica, English Series, 15(2005), 1-10.

45. The Heisenberg group and the energy-momentem conservative law in de-Sitter spaces, Commun. Theor. Phys. (Bejing, China), 44(2005), 389-392.

46. Global solutions of Yang-Mills equation, CUBO A Mathematical Journal, 8(2006), 47-51.

47. A representation of the Lorentz spin group and its aplication, Acta Mathematica Sinica, English Series, 23(2007), 1-22 (join work with Wu Ke).

48. Holomorphic invariant forms of a bounded domain, Science in China, Serries A: Mathematics, No. 11, 51(2008),1945-1964.

49.     The conjugate points of CP∞ and the zeroes of Bergman, 29B(3)(2009), 480-492.