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Prog. Theor. Phys. Vol. 89 No. 2 (1993) pp. 523-530

Internal Translation Group, Extended Cartan-Maurer Condition and Soldering Forms

Hiroyuki Kikukawa, Junko Kikukawa^* and Akihiro Nakamura^**

Department of Engineering Oceanography, Faculty of Fisheries, Kagoshima University, Kagoshima 890
^*Department of Physics, Kagoshima Junior College, Kagoshima 890
^**Department of Physics, College of Liberal Arts, Kagoshima University, Kagoshima 890

(Received October 23, 1992)

Abstract:

Considering the internal translation group in spin space, the concept of connection 1-form is somewhat extended by loosening the Cartan-Maurer condition. Soldering forms are then interpreted in terms of “extended connections” of the group. The general coordinate transformations are induced from the internal translations by imposing the extended Cartan-Maurer condition.

URL : http://ptp.ipap.jp/link?PTP/89/523/
DOI : 10.1143/PTP.89.523

[ Full Text PDF : FREE ACCESS (593K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 1063-1075 :

   Internal P⁴_cI Group in Spin Space and Gauge Theory of Gravity

   Hiroyuki Kikukawa, Junko Kikukawa and Akihiro Nakamura

2. Progress of Theoretical Physics Vol. 91 No. 3 (1994) pp. 611-624 :

   Modified Maurer-Cartan Condition and Fiber Bundle Structure of the Gauge Theory of Gravity

   Akihiro Nakamura, Hiroyuki Kikukawa and Junko Kikukawa

3. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1209-1217 :

   Graded Poincaré Algebra, Spin-Vector Gauge Fields and Gauge Theory of Gravity

   Hiroyuki Kikukawa

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