Abstract
In terms of Fueter analytic functions, a classical solution of the Liouville equation in a fourdimensional Euclidean space depending on two arbitrary complex functions is obtained and discussed.
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Fueter, R., Comment. Math. Helv. 7, 307 (1935).
Fueter, R., Comment. Math. Helv. 8, 371 (1936).
Sudbery, A., Math. Proc. Camb. Phil. Soc. 85, 199 (1979).
Gursey, F. and Tze, H. G., Ann. Phys. 128, 29 (1980).
Weingarten, D., Ann. Phys. 76, 510 (1973).
Stoyanov, D. T., Preprint ISAS 10/85/E.P., Trieste (1985) and talk delivered at the International Symposium on Conformal Groups and Structures, Arnold Sommerfeld Institute for Mathematical Physics, Technical University, Claustal, Germany, August 1985.
Kac, V. G., Izvestija A.N. SSSR, Math. Ser. 32, 1323 (1968).
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Stoyanov, D.T. On the classical solutions of the liouville equation in a four-dimensional euclidean space. Lett Math Phys 12, 93–96 (1986). https://doi.org/10.1007/BF00416458
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DOI: https://doi.org/10.1007/BF00416458