Sphere-geometrical unitary field theories

Tsurusaburo Takasu

Compositio Mathematica (1952)

  • Volume: 10, page 95-116
  • ISSN: 0010-437X

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Takasu, Tsurusaburo. "Sphere-geometrical unitary field theories." Compositio Mathematica 10 (1952): 95-116. <http://eudml.org/doc/88796>.

@article{Takasu1952,
author = {Takasu, Tsurusaburo},
journal = {Compositio Mathematica},
keywords = {relativity theory},
language = {eng},
pages = {95-116},
publisher = {Kraus Reprint},
title = {Sphere-geometrical unitary field theories},
url = {http://eudml.org/doc/88796},
volume = {10},
year = {1952},
}

TY - JOUR
AU - Takasu, Tsurusaburo
TI - Sphere-geometrical unitary field theories
JO - Compositio Mathematica
PY - 1952
PB - Kraus Reprint
VL - 10
SP - 95
EP - 116
LA - eng
KW - relativity theory
UR - http://eudml.org/doc/88796
ER -

References

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  2. O. Klein [2] Quantentheorie und fünfdimensionale Relativitätstheorie. Zeits. für Physik, 37 (1926), 896-906. JFM52.0970.09
  3. A. Einstein— W. Mayer [3] Einheitliche Theorie von Gravitation und Elektrizität. Sitz. preuss. Akad. Wiss., (1931), 541—557Part II. Ibid.130—137. Zbl0005.27106JFM58.1340.01
  4. B. Hoffmann [4] A generalization of the Kaluza-Klein field theory. The Quarterly Journal of Math., 7 (1936), 20-31. Zbl0013.33002JFM62.1482.04
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  6. K. Yano [6] Sur la théorie unitaire non-holonome des champs. I. Proc. Physico-Math. Soc. Japan, (3) 19 (1937), 867—896.II. Ibid. 945—976. Zbl0017.43004JFM63.1260.02
  7. K. Yano [7] La théorie unitaire des champs proposée par M. Vrancenau. C. R. Paris, 204 (1937), 332—334. Zbl0015.42405JFM63.1259.05
  8. K. Yano [8] Sur la nouvelle théorie unitaire de MM. Einstein et Bergmann. Proc. Imp. Acad. Tokyo, 14 (1938), 325-328. Zbl0020.09301
  9. K. Yano [9] La relativité non-holonome et la théorie unitaire de MM. Einstein et Alayer. Mathematica, 14 (1938), 121—132. Zbl0020.28601JFM64.1375.02
  10. S. Sato [10] Non-Fuelidean Connection Geometry. (1947) Under preparation. 
  11. Einstein and Bergmann [11] On a generalization of Kaluza's theory of relativity. Annals of Math., 36 (1938), 683—701. Zbl0019.28700JFM64.0770.03
  12. K. Yano [12] Unified fields theory of Jordan-Bergmann (in Japanese). The Sugaku (2) 1 (1944), p. 91. 
  13. Y. Tomonaga [13] A vector field based on a Riemannian manifold. (In Japanese). The Zenkokushijo-sugaku-danwakwai, (1) 3 (1948), 212—214. 
  14. J.A. Schouten— J. Haantjes [14] Ueber die konforminvariante Gestalt der relativistischen Bewegungsgleichungen. Proc. Koninklijke Akademie van Wetenschappen te Amsterdam, 39 (No. 5) (1938), 1-8. Zbl0015.32903JFM62.0883.01
  15. J.A. Schouten— J. Haantjes [15] Ueber die konforminvariante Gestalt der Maxwellschen Gleichungen und der elektromagnetischen Impulsenergie-gleichungen. Physica, 1 (1984), 869—872. Zbl0009.33401JFM60.1427.01
  16. O. Veblen [16] Projektive Relativitätstheorie, Berlin (1983). Zbl0006.41902JFM59.1505.02
  17. B. Hoffmann [17] The Vector Meson Field and Projective Relativity. Physical Review, 72 (2) (1947), 458—465. Zbl0031.37701
  18. B. Hoffmann [18] The Gravitational, Electromagnetic, and Vector Meson Fields and the Similarity Geometry. Physical Review, 73 (2) (1948). 30—35. Zbl0031.22803
  19. P.G. Bergmann [19] Unified Field Theory with Fifteen Field Variables. Annals of Math., 49 (1948), 252—264. Zbl0029.18402
  20. Y. Tomonaga [20] On certain infinitesimal transformations (in Japanese). The Zenkokushijo-sugaku-danwakwai, (2) 14 (1948), 478—481. 
  21. T. Takasu [21] Sphere-geometrical Unitary Field Theory. Proc. Nat. Acad. Sci. U.S.A.86 (1950), 216—218. Zbl0037.42205
  22. A. Einstein [22] The Meaning of the Relativity Theory. Princeton (1950). Zbl0063.01229
  23. S. Sasaki— K. Yano [23] On the structure of spaces with normal projective connections, whose groups of holonomy fix a hyperquadric. Tohoku Math. Journal, Ser.2, 1 (1949), 31—39. Zbl0041.30701
  24. T. Takasu [24] Differentialgeometrien in den Kugelräumen. Band I. (1938). Zbl0019.04401JFM64.1357.01
  25. T. Takasu [25] Differentialgeometrien in den Kugelräumen. Band II. (1939). Zbl65.0783.02JFM65.0783.02
  26. Y. Tomonaga [26] A Generalization of Laguerre Geometry I. Journal of the Mathematical Society of Japan, 2 (1951), 253—266. Zbl0045.43301
  27. Shing—Shen Chern [27] Some New Viewpoints in Differential Geometry in the Large. Bull. Amer. Math. Soc., 52 (1946), 1—30. Zbl0063.00834

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