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On the Quaternion Ball and the Quaternion Projective Space

On the Quaternion Ball and the Quaternion Projective Space
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摘要 Since the quaternion ball was used to study the AdS/CFT problems tor spinor fields, it is worthwhile to study further the geometry (in sense of Klein) and analysis on it and on its extended space (in the sense of Behnke-Thullen), the quaternion projective space. Since the quaternion ball was used to study the AdS/CFT problems tor spinor fields, it is worthwhile to study further the geometry (in sense of Klein) and analysis on it and on its extended space (in the sense of Behnke-Thullen), the quaternion projective space.
作者 Qi Keng LU
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期449-456,共8页 数学学报(英文版)
基金 Partially supported by National Natural Science Foundation of China, Project 10231050/A010109
关键词 Discontinuous solutions Heat kernel Discontinuous solutions, Heat kernel
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参考文献5

  • 1Hua, L. K., Look, K. H.(=Qikeng Lu): Theory of harmonic fucntions in classical domains. Scientia Sinica,8, 1031 1094 (1959).
  • 2Hua, L. K.: Starting from the Unit Disc (in Chinese), Science Press, Beijing, 1977.
  • 3Behnke, H., Thullen, T.: Theorie der Funktionen mehrerer komplexer Veraderlichen, Springer-Verlag, Berlin,1934.
  • 4Lu, Q. K.: The eigen fucntions of the complex projective space. Acta Mathematica Sinica, New Series, 14,1 8 (1998).
  • 5Lu, Q. K.: Hua operator on vector bundle: with application to Ads/CFT correspondence of Dirac fields.Science in China. Set. A Mathematics, 48, 413 431 (2005).

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