Literature Cited
B. M. Barbashov, Nucl. Phys. B,129, 175 (1977).
B. M. Barbashov and V. V. Nesterenko, Fiz. Elem. Chastits At. Yadra,9, 709 (1978).
N. A. Chernikov and N. S. Shavokhina, Teor. Mat. Fiz.,42, 59 (1980);43, 356 (1980).
P. H. Frampton, Phys. Rev. D,12, 538 (1975).
A. Chodos and C. B. Thorn, Nucl. Phys. B,72, 509 (1974).
N. S. Shavokhina, Dokl. Akad. Nauk SSSR,265, 852 (1982).
B. M. Barbashov and V. V. Nesterenko, in: Problems of High Energy Physics and Quantum Field Theory. Proc. International Seminar on Problems of High Energy Physics and Quantum Field Theory [in Russian], Institute of High Energy Physics, Protvino (1983), Vol. 2, p. 3; (1984), Vol. 1, p. 82.
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Nauka, Moscow (1986).
A. P. Norden, The Theory of Surfaces [in Russian], Gostekhteorizdat, Moscow (1956).
J. A. Favard, Cours de Géométrie Différentielle Locale, Paris (1957).
L. P. Eisenhart, Riemannian Geometry, Princeton University Press, Princeton (1964).
R. Omnes, Nucl. Phys. B,149, 269 (1979).
B. M. Barbashov and A. L. Koshkarov, Teor. Mat. Fiz.,39, 27 (1979).
B. M. Barbashov, V. V. Nesterenko, and A. M. Chervyakov, Teor. Mat. Fiz.,40, 15 (1979).
L. Bianchi, Lezioni di Geometria Differenziale, Vol. 2, Spoerri, Pisa (1903).
B. Durhuus, H. B. Nielsen, P. Olesen, and J. L. Petersen, Nucl. Phys. B,196, 498 (1982).
J. L. Gervais and A. Neveu, Nucl. Phys. B,199, 59 (1982).
L. R. Ford, Automorphic Functions, Chelsea Publ. Comp., New York (1951).
B. M. Barbashov and A. M. Chervyakov, “Geometrical method of solving the boundaryvalue problem in the theory of a relativistic string with masses at its ends,” Preprint R2-86-521 [in Russian], JINR, Dubna (1986).
Additional information
Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 74, No. 3, pp. 430–439, March, 1988.
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Barbashov, B.M., Chervyakov, A.M. Geometrical method of solving the boundary-value problem in the theory of a relativistic string with masses at its ends. Theor Math Phys 74, 292–299 (1988). https://doi.org/10.1007/BF01016623
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DOI: https://doi.org/10.1007/BF01016623