Main publications of Valera N. Berestovskii

1. "Introduction of a Riemannian structure into certain metric spaces", Siberian Math J. 16 (1975) 651-662 (English transl. ibid 499-507).
2. "On a condition for the existence of the curvature tensor," (Russian), Siberian Math. J. 18 (1977) 40-47.
3. "On the problem of the finite dimensionality of Busemann G-space," Siberian Math. J. 18 (1977) 219-221.
4. "On homogeneous Busemann G-spaces," English transl., Soviet Math. Dokl. 20 (1979) 727-730.
5. "On spaces with bounded curvature," English transl., Soviet Math. Dokl. 23 (1981) 491-493.
6. "Homogeneous Busemann G-spaces," Siberian Math. J. 23 (1982) 3-15 .
7. "Borsuk's problem on metrization of polyhedron," English transl., Soviet Math. Dokl. 27 (1983) 273-277.
8. ( with Alexandrov, A.D. ) "Generalized Riemannian space," Mathematical Encyclopaedia, vol. 4, (1984), 1022-1026 .English transl., Kluver Acad. Publ., Dordrecht.
9. (with Alexandrov, A.D.) "Generalized Finslerian space," Mathe- matical Encyclopaedia, vol. 5, (1985), 624-625 (Russian).
10. "Generalized symmetric spaces," Siberian Math. J. 26 (1985) 3-17 (Russian).
11. (with A.D. Alexandrov and I.G. Nikolaev) "Generalized Riemannian spaces," Uspekhi Mat. Nauk 41 (1986),No.3, 3-44. English transl., Russian Math. Surveys 41 (1986) 1-54.
12. "Spaces with bounded curvature and distance geometry," Siber. Math. J. 27 (1986) 11-25 (English transl., ibid 8-19).
13. "Submetries of space forms of nonnegative curvature," Siber. Math. J. 28 (1987), No.4 , 44-56 (Russian).
14. "Homogeneous spaces with intrinsic metric," English transl. Soviet Math. Dokl. 38 (1989), 60-63.
15. "Homogeneous manifolds with an intrinsic metric," Siber. Math. J. 29 (1988) 17-29. English transl., ibid. 887-897.
16. "The structure of locally compact homogeneous spaces with an intrinsic metric," Siber. Math. J. 30 (1989) No.1, 23-34. English transl., ibid. 16-25.
17. "Homogeneous manifolds with an intrinsic metric II," Siber. Math.J. 30 (1989) No. 2, 14-28. English transl. ibid.180-191.
18. (with A.M. Vershik) "Manifolds with intrinsic metrics and nonholonomic spaces," Advances in Soviet Mathematics 9 (1992) 253-267.
19. "Compact homogeneous manifolds with integrable invariant dist- ributions," Izvestija vuzov.Matematika 1992, No.6, 42-48 (Russian).
20. (with Volper D.E.) A class of U(n)-invariant Riemannian Metrics on manifolds diffeomorphic to odd-dimensional spheres," Siber. Math. J. 34 (1993) No. 4,24-32. English transl. ibid. 612-619.
21. "Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg groups and isoperimetric curves on the Minkowski plane," 35 (1994) No. 1, 3-11. English transl. ibid. 1-8.
22. "Manifolds with intrinsic metric with one-side bounded curvature in the sense of A.D.Alexandrov," Math.Phys., Analysis,Geometry 1 (1994), No.1, 41-59 (Russian).
23. "Homogeneous spaces with inner metric (unsolved problems)," Izvestija vuzov.Matematika 1994 , No.2 (Russian).
24. " Left-invariant nonholonomic inner metric on group of motions of Euclidean plane," to appear in Siber. Math. J.
25. "On Alexandrov's spaces with curvature bounded from above", to appear in Dokl. RAN ( former Soviet Math. Dokl.)
26. "Compact homogeneous manifolds with integrable invariant distributions and scalar curvature," to appear in Mat.Sbornik.
27. "Homogeneous Riemannian manifolds with positive Ricci curvature," to appear in Mat. Zametki (Russian).

Dissertations:

• "Metric foundations of Riemannian geometry," Ph.D. diss., Kazan St. U., Kazan 1979 (Russian).
• "Homogeneous spaces with inner metric," D.Sc. diss., Inst. Mat. Sib. Otdel. Nauk SSSR, Novosibirsk,1990 (Russian).

Monography

(with Nikolaev, I.G and Reshetnyak, Yu.G.) "Encyclopaedia of Mathematical Sciences, vol. 70, Geometry IV," Springer, 1993. ICM 94 "Homogeneous spaces with integrable distributions and scalar curvature of homogeneous Riemannian spaces," Short communications of ICM 94, 42.