Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2004_11_a0, author = {V. N. Berestovskii}, title = {Similarly homogeneous locally complete spaces with an intrinsic metric}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {3--22}, publisher = {mathdoc}, number = {11}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2004_11_a0/} }
V. N. Berestovskii. Similarly homogeneous locally complete spaces with an intrinsic metric. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2004), pp. 3-22. http://geodesic.mathdoc.fr/item/IVM_2004_11_a0/
[1] Buzeman G., Geometriya geodezicheskikh, Fizmatgiz, M., 1962, 503 pp. | MR
[2] Sosov E. N., “O konechnoi kompaktnosti i polnote nekotorykh prostranstv otobrazhenii s metrikoi Buzemana”, Izv. vuzov. Matematika, 1993, no. 11, 62–68 | MR | Zbl
[3] Pansu P., “Metriques de Carnot–Caratheodory et quasiisometries des espaces symetrique de rang une”, Ann. of Math., 119 (1989), 1–60 | DOI | MR
[4] Berestovskii V. N., Odnorodnye prostranstva s vnutrennei metrikoi, Dis. ... dokt. fiz.-matem. nauk, Novosibirsk, 1990, 269 pp.
[5] Berestovskii V. N., “Geodezicheskie negolonomnykh levoinvariantnykh vnutrennikh metrik na gruppe Geizenberga i izoperimetriksy ploskosti Minkovskogo”, Sib. matem. zhurn., 35:1 (1994), 3–11 | MR | Zbl
[6] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, t. 1, Nauka, M., 1981, 344 pp. | MR
[7] Rashevskii P. K., “O soedinimosti lyubykh dvukh tochek vpolne negolonomnogo prostranstva dopustimoi liniei”, Uchen. zap. Moskovsk. ped. in-ta, 3:2 (1938), 83–94
[8] Chow W. L., “Systeme von linearen partiellen differential Gleichungen erster Ordnung”, Math. Ann., 117 (1939), 98–105 | DOI | MR | Zbl
[9] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974, 479 pp. | MR | Zbl
[10] Berestovskii V. N., Zubareva I. A., “Formy sfer spetsialnykh negolonomnykh levoinvariantnykh vnutrennikh metrik na nekotorykh gruppakh Li”, Sib. matem. zhurn., 42:4 (2001), 731–748 | MR | Zbl
[11] Alexander S. B., Bishop R. L., “Warped product of Hadamard spaces”, Manuscripta Math., 96 (1998), 487–505 | DOI | MR | Zbl
[12] Chen C. -H., “Warped product of metric spaces of curvature bounded from above”, Trans. Amer. Math. Soc., 351 (1999), 4727–4740 | DOI | MR | Zbl
[13] Bishop R. L., O' Neill B., “Manifolds of negative curvature”, Trans. Amer. Math. Soc., 145 (1969), 1–49 | DOI | MR | Zbl
[14] Bernig A., Foertsch T., Schroeder V., “Non standard metric products”, Beiträge Algebra Geom., 44:2 (2003), 499–510 | MR | Zbl
[15] Foertsch T., Schroeder V., “Products of hyperbolic metric spaces”, Geom. Dedicata, 102 (2003), 197–212 | DOI | MR | Zbl
[16] Grushin V. V., “Ob odnom klasse gipoellipticheskikh operatorov”, Matem. sb., 83:3 (1970), 456–473 | Zbl
[17] Berestovskii V. N., “Odnorodnye prostranstva s vnutrennei metrikoi”, DAN SSSR, 301:2 (1988), 268–271 | MR | Zbl
[18] Berestovskii V. N., “Odnorodnye mnogoobraziya s vnutrennei metrikoi. I”, Sib. matem. zhurn., 29:6 (1988), 17–29 | MR | Zbl
[19] Berestovskii V. N., “Odnorodnye mnogoobraziya s vnutrennei metrikoi. II”, Sib. matem. zhurn., 30:2 (1989), 14–28 | MR | Zbl
[20] Berestovskii V. N., “O strukture odnorodnykh lokalno kompaktnykh prostranstv s vnutrennei metrikoi”, Sib. matem. zhurn., 30:1 (1989), 23–34 | MR | Zbl
[21] Berestovskii V. N., “Submetrii prostranstvennykh form neotritsatelnoi krivizny”, Sib. matem. zhurn., 28:4 (1987), 44–56 | MR | Zbl
[22] O' Neill B., “The fundamental equations of a submersion”, Mich. Math. J., 13 (1966), 459–469 | DOI | MR | Zbl
[23] Berestovskii V. N., Guijarro L., “A metric characterization of Riemannian submersions”, Ann. Global Anal. Geom., 18 (2000), 577–588 | DOI | MR
[24] Berestovskii V. N., “A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds of bounded curvature”, Siberian Adv. Math., 13:4 (2003), 11–16 | MR
[25] Sharafutdinov V. A., “Teorema Pogorelova–Klingenberga dlya mnogoobrazii, gomeomorfnykh $R^n$”, Sib. matem. zhurn., 18:4 (1977), 915–925 | MR | Zbl
[26] Perelman G., “Proof of the soul conjecture of Cheeger and Gromoll”, J. Diff. Geom., 40 (1994), 209–212 | MR | Zbl
[27] Guijarro L., “On the metric structure of nonnegatively curved manifolds”, Pac. J. Math., 196:2 (2000), 429–444 | MR | Zbl
[28] Vainshtein A. G., Gorelik E. M., Efremovich V. A., “Rassloenie ploskosti Lobachevskogo”, DAN SSSR, 241:2 (1978), 269–271 | MR
[29] Faizullin R. R., “O svyazi negolonomnoi metriki na gruppe Geizenberga s metrikoi Grushina”, Sib. matem. zhurn., 44:6 (2003), 1377–1384 | MR | Zbl
[30] Kon-Fossen S. E., Nekotorye voprosy differentsialnoi geometrii v tselom, Fizmatgiz, M., 1959, 303 pp. | MR
[31] Berestovskii V. N., “Odnorodnye $G$-prostranstva Buzemana”, Sib. matem. zhurn., 23:2 (1982), 3–15 | MR | Zbl
[32] Szenthe J., “On the topological characterization of transitive Lie group actions”, Acta Sci. Math., 36:3/4 (1974), 323–344 | MR | Zbl
[33] Uorner F., Osnovy teorii gladkikh mnogoobrazii i grupp Li, Mir, M., 1987, 302 pp. | MR
[34] Stinrod N., Topologiya kosykh proizvedenii, In. lit., M., 1953, 274 pp.
[35] Adams Dzh., Lektsii po gruppam Li, Nauka, M., 1979, 144 pp. | MR | Zbl
[36] Yamabe H., “A generalization of a theorem of Gleason”, Ann. of Math., 58:2 (1953), 351–365 | DOI | MR | Zbl
[37] Alekseevskii D. V., “$S^n$ i $E^n$ – edinstvennye rimanovy prostranstva, dopuskayuschie suschestvennoe konformnoe preobrazovanie”, UMH, 28:5 (1973), 225–226 | MR | Zbl
[38] Alekseevskii D. V., “Gruppy konformnykh preobrazovanii rimanovykh prostranstv”, Matem. sb., 89:2 (1972), 280–296 | MR | Zbl
[39] Alekseevskii D. V., Kimelfeld B. N., “Klassifikatsiya odnorodnykh konformno ploskikh rimanovykh mnogooobrazii”, Matem. zametki, 24:1 (1978), 103–110 | MR | Zbl
[40] Rodionov E. D., Slavskii V. V., “Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces”, Comment. Math. Univ. Carolinae, 43:2 (2002), 271–282 | MR | Zbl