Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 329-336 Cet article a éte moissonné depuis la source Math-Net.Ru

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New solutions are found for the equations of Kaluza–Klein theory and superstrings corresponding to spontaneous compactification and using compact manifolds of constant negative curvature and surfaces of KЗ type. The part played by manifolds of constant negative curvature in Kaluza–Klein theory is discussed. Solutions corresponding to the existence of additional time dimensions with vanishing cosmological constant are also found.
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     title = {Manifolds of constant negative curvature as vacuum solutions in {Kaluza{\textendash}Klein} and superstring theories},
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I. Ya. Aref'eva; I. V. Volovich. Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 329-336. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a14/

[1] Kaluza T., Sitzber. Preuss. Acad. Wiss., Berlin, math.-phys. Kl., 1 (1921), 966–975; Klein O., Z. Phys., 37:3 (1926), 895–901 | DOI

[2] DeWitt B., Relativity, Groups and Topology, Gordon and Breach, New-York–London, 1964 ; Cremmer B., Scherk G., Nucl. Phys., B103:2 (1976), 393–405 ; Witten E., Nucl. Phys., B186:3 (1981), 412–425 ; Salam A., Strathdee J., Ann. Phys., 1982, no. 2, 316–330 ; Duff M. J., Pope C. N., Supergravity'82, eds. Ferrara S., Taylor J. G., van Nieuwenhuizen P., World Scientific Publishing, 1983 ; Candelas P., Weinberg S., Nucl. Phys., B237:2 (1984), 397–410 ; Gell-Mann M., Zwiebach B., Phys. Lett., 141B:5 (1984), 333–337 ; Salam A., Kaluza - Klein proposal and electro-nuclear gravity, Preprint IC/84/170, Trieste, 1984 | MR | MR | DOI | MR | DOI | MR | MR | DOI | MR | DOI | MR

[3] Schwarz J. H., Phys. Rep., 89:2 (1982), 223–270 ; Brink L., Superstrings, Preprint TH4006, CERN, 1984 ; Green M. B., Surveys in High Energy Physics, 3:2 (1983), 127–150 | DOI | MR | MR | DOI

[4] Lichnerovich C. R., Acad. Sci. Paris, Ser. A-B, 257:1 (1963), 7–27 | MR

[5] Green M. B., Schwarz J. H., Phys. Lett., 149B:1; 2; 3 (1984), 117–122 | DOI | MR

[6] Witten E., Phys. Lett., 149B:4–5 (1984), 351–356 | DOI | MR

[7] Candelas P., Horowitz G. T., Strominger A., Witten E., Vacuum configurations for superstrings, Preprint, Princeton University, 1984 | MR

[8] Freud P. G. O., Rubin M. A., Phys. Lett., 97B:2 (1980), 233–235 | DOI

[9] Thurston W. P., Bull. Amer. Math. Soc., 6:3 (1982), 357–381 ; Milnor J., Bull. Amer. Math. Soc., 6:1 (1982), 9–24 ; Макаров В. С., Проблемы геометрии, Итоги науки и техники, ВИНИТИ АН СССР, 15, ВИНИТИ, М., 1983, 3–59 ; Винберг Э. Б., УМН, 40:1 (1985), 29–66 | DOI | MR | DOI | MR | Zbl | MR | Zbl

[10] Atiyah M. F., Patodi V. K., Singer I. M., Math. Proc. Cambridge Phil. Soc., 77:1 (1975), 43–70 | DOI | MR

[11] Vladimirov V. S., Matem. sb., 93:1 (1974), 3–17 | MR | Zbl

[12] Duff M. J., Nelsson B. E. W., Pope C. N., Phys. Lett., 129B:1–2 (1983), 39–42 | DOI | MR

[13] Tyurin A. N., Tr. MIAN SSSR, 168, no. 1, 1984, 98–108 | MR

[14] Volf Dzh., Prostranstva postoyannoi krivizny, Nauka, M., 1982 | MR

[15] Volkov D. V., Tkach V. I., TMF, 51:2 (1982), 171–177 | MR | Zbl

[16] Randjbar-Daemi S., Percacci R., Phys. Lett., 117B:1 (1983), 41–43 | MR

[17] Cremmer E., Julia B., Scherk J., Phys. Lett., 76:4 (1978), 409–413 | DOI

[18] Yano K., Bokhner S., Krivizna i chisla Betti, IL, M., 1957

[19] Chaplin G. F., Manton N. S., Phys. Lett., 120B:2 (1983), 105–108 | DOI | MR

[20] Mostow G. D., Ann. Math. Studies, 78 (1973) | MR | Zbl

[21] Margulis G. A., DAN SSSR, 11:3 (1970), 722–723 | Zbl

[22] Voloshin M. B., Kobzarev I. Yu., Okun L. B., YaF, 20:8 (1974), 1229–1235

[23] Sakharov A. D., ZhETF, 87:2 (1984), 375–383

[24] Scherk J., Recent developments in gravitation, eds. Levy M., Deser S., Plenum Press, N. Y., 1979 ; Wetterich C., Nucl. Phys., B211:1 (1983), 177–188 | MR | DOI | MR