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Shirokov, Aleksandr Petrovich
(1926–1998)

Statistics Math-Net.Ru
Total publications: 64
Scientific articles: 50

Number of views:
This page:3688
Abstract pages:16366
Full texts:8851
References:214
Professor
Doctor of physico-mathematical sciences (1966)
Website: https://kpfu.ru/math/history/znamenitye-personalii/sledujuschie-lichnosti/sledujuschie-lichnosti/shirokov-aleksandr-petrovich

https://www.mathnet.ru/eng/person20143
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192929

Publications in Math-Net.Ru Citations
2002
1. A. P. Shirokov, “Spaces over algebras and their applications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 73 (2002),  135–161  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 108:2 (2002), 232–248 15
2. A. P. Shirokov, “P. A. Shirokov's work on the geometry of symmetric spaces”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 30 (2002),  125–137  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:3 (1998), 1253–1260 5
1997
3. A. P. Shirokov, “The space $H_4$ and quaternion algebra”, Tr. Geom. Semin., 23 (1997),  187–198  mathnet  mathscinet 1
1994
4. A. P. Shirokov, “On the holonomy group in relative ruled geometry of an affine space”, Tr. Geom. Semin., 22 (1994),  90–97  mathnet  mathscinet  zmath
1993
5. A. P. Norden, A. P. Shirokov, “The heritage of N. I. Lobachevskii and the activity of Kazan geometers”, Uspekhi Mat. Nauk, 48:2(290) (1993),  47–74  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:2 (1993), 47–74  isi 1
1991
6. A. P. Shirokov, “On the geometry of horospheres of the Lobachevskii space”, Tr. Geom. Semin., 21 (1991),  118–124  mathnet  mathscinet  zmath 1
1990
7. N. N. Perelomova, A. P. Shirokov, “Second-order tangent bundles of the projective line, and Lobachevskii geometry”, Tr. Geom. Semin., 20 (1990),  73–85  mathnet  mathscinet  zmath 1
1989
8. V. I. Bliznikas, A. P. Norden, B. N. Shapukov, A. P. Shirokov, “The scientific legacy of Boris Lukich Laptev (23.04.1905–15.01.1989)”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 21 (1989),  27–41  mathnet  mathscinet  zmath; J. Soviet Math., 55:6 (1991), 2091–2100 1
1988
9. A. P. Shirokov, “On the geometry of tangent bundles of homogeneous spaces”, Tr. Geom. Semin., 18 (1988),  153–163  mathnet  mathscinet  zmath
1986
10. A. P. Shirokov, “Passage to the limit from a line geometry of Lobachevskii space to a line geometry of Euclidean space”, Tr. Geom. Semin., 17 (1986),  100–104  mathnet  mathscinet  zmath
1985
11. A. P. Shirokov, “Spaces with affine connection (some aspects of A. P. Norden's normalization method)”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 17 (1985),  131–151  mathnet  mathscinet  zmath; J. Soviet Math., 37:4 (1987), 1239–1253 4
1984
12. V. V. Vishnevskiĭ, B. A. Rozenfel'd, A. P. Shirokov, “Development of the geometry of spaces over algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 7,  38–44  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:7 (1984), 46–54 8
13. N. V. Talantova, A. P. Shirokov, “Projective models of unitary spaces of constant curvature over an algebra of dual numbers”, Tr. Geom. Semin., 16 (1984),  103–110  mathnet  mathscinet  zmath 1
1983
14. A. P. Shirokov, “A connection in a tangent bundle of a tangentially nondegenerate hypersurface of a Euclidean space”, Tr. Geom. Semin., 15 (1983),  93–98  mathnet  mathscinet  zmath
15. A. V. Dubinkin, A. P. Shirokov, “On the question of infinitesimal generalized-conformal transformations”, Tr. Geom. Semin., 15 (1983),  26–34  mathnet  mathscinet  zmath 1
1982
16. A. P. Shirokov, “On special metrics and connections in tangent bundles of hypersurfaces of affine and non-euclidean spaces”, Tr. Geom. Semin., 14 (1982),  108–116  mathnet  mathscinet  zmath 1
1981
17. A. P. Shirokov, “The geometry of tangent bundles and spaces over algebras”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 12 (1981),  61–95  mathnet  mathscinet  zmath; J. Soviet Math., 21:2 (1983), 151–177 22
18. A. P. Shirokov, “On tangent bundles and the linear geometry of non-Euclidean spaces”, Tr. Geom. Semin., 13 (1981),  101–108  mathnet  mathscinet  zmath 2
1980
19. A. P. Shirokov, “On a certain model for line geometry in the Lobachevskii space”, Tr. Geom. Semin., 12 (1980),  111–117  mathnet  mathscinet  zmath 1
1979
20. L. E. Evtushik, Ü. G. Lumiste, N. M. Ostianu, A. P. Shirokov, “Differential-geometric structures on manifolds”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 9 (1979),  5–246  mathnet  mathscinet  zmath; J. Soviet Math., 14:6 (1980), 1573–1719 91
21. A. P. Shirokov, “On holomorphically projective transformations in a tangent bundle”, Tr. Geom. Semin., 11 (1979),  111–114  mathnet  mathscinet  zmath
1978
22. A. P. Shirokov, “Invariant torsion-free connections in tangent bundles of conformal Möbius planes”, Tr. Geom. Semin., 10 (1978),  121–127  mathnet  mathscinet  zmath
23. A. P. Shirokov, “Tangent bundle of a one-dimensional space over an algebra”, Tr. Geom. Semin., 10 (1978),  113–120  mathnet  mathscinet  zmath
24. A. P. Shirokov, “Remark on the relative line geometry of an affine plane”, Tr. Geom. Semin., 10 (1978),  107–112  mathnet  mathscinet  zmath
1976
25. N. V. Talantova, A. P. Shirokov, “Three-step groups of linear fractional substitutions of a dual variable as affine collineations”, Tr. Geom. Semin., 9 (1976),  105–113  mathnet  mathscinet  zmath
1975
26. N. V. Talantova, A. P. Shirokov, “A remark on a certain metric in the tangent bundle”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 6,  143–146  mathnet  mathscinet  zmath 2
27. A. P. Shirokov, “Norden's normalization method, and real models of projective spaces over algebras”, Tr. Geom. Semin., 8 (1975),  145–152  mathnet  mathscinet  zmath 1
1974
28. A. P. Shirokov, “Structures on differentiable manifolds”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 11 (1974),  153–207  mathnet  mathscinet  zmath; J. Soviet Math., 4:5 (1975), 555–590 6
29. A. P. Shirokov, “A remark on structures in tangent bundles”, Tr. Geom. Sem., 5 (1974),  311–318  mathnet  mathscinet  zmath 5
30. A. P. Shirokov, “Normalizations in a projective space with a given fibering”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 5,  216–221  mathnet  mathscinet  zmath 2
31. A. P. Shirokov, “On the question of spin representations of the rotations of Euclidean spaces over algebras”, Trudy Sem. Kaf. Geom., 7 (1974),  165–175  mathnet  mathscinet  zmath
1972
32. A. P. Shirokov, “Fiber bundles of involutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 12,  116–123  mathnet  mathscinet  zmath
1970
33. A. P. Shirokov, “A note on certain tangent bundle”, Uchenye Zapiski Kazanskogo Universiteta, 129:6 (1970),  122–127  mathnet  mathscinet  zmath
34. A. I. Melent'ev, A. P. Shirokov, “On the geometry of one-dimensional spaces over completely reducible algebras”, Uchenye Zapiski Kazanskogo Universiteta, 129:6 (1970),  99–110  mathnet  mathscinet  zmath
1969
35. A. P. Shirokov, “Structures on differentiable manifolds”, Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1967, 1969,  127–188  mathnet  mathscinet  zmath; Progr. Math., 9 (1971), 137–207 3
1968
36. A. P. Shirokov, “A certain biaxial model of a principal fiber bundle”, Uchenye Zapiski Kazanskogo Universiteta, 128:3 (1968),  158–165  mathnet  mathscinet  zmath
37. R. N. Khabibullina, A. P. Shirokov, “A classification of the groups of motions of the biaxial space of hyperbolic type”, Uchenye Zapiski Kazanskogo Universiteta, 128:3 (1968),  134–152  mathnet  mathscinet  zmath
1966
38. A. P. Shirokov, “On a type of $G$-structures defined by algebras”, Tr. Geom. Sem., 1 (1966),  425–456  mathnet  mathscinet  zmath 4
39. A. P. Shirokov, “On the question of pure tensors and invariant subspaces in manifolds with almost algebraic structure”, Uchenye Zapiski Kazanskogo Universiteta, 126:1 (1966),  81–89  mathnet  mathscinet  zmath 1
40. A. P. Shirokov, “Symmetric spaces defined by commutative algebras of the 4th order”, Uchenye Zapiski Kazanskogo Universiteta, 126:1 (1966),  60–80  mathnet  mathscinet  zmath
1965
41. A. P. Shirokov, “On the theory of spaces definable by commutative algebras”, Uchenye Zapiski Kazanskogo Universiteta, 125:1 (1965),  165–182  mathnet  mathscinet  zmath
1963
42. A. P. Shirokov, “On symmetric spaces defined by algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 6,  159–171  mathnet  mathscinet  zmath 1
43. A. P. Shirokov, “On real realizations of projective spaces over algebras”, Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  248–254  mathnet  mathscinet 1
44. A. P. Shirokov, “Spaces over associative unitary algebras”, Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  222–247  mathnet  mathscinet 2
45. A. P. Shirokov, “Classification of groups of motions of a biaxial space of elliptic type”, Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  208–221  mathnet  mathscinet
46. A. P. Shirokov, “Helical regular procession in Lobachevskii space”, Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  196–207  mathnet 2
1961
47. A. P. Shirokov, “Some real realizations of spaces over algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 5,  117–127  mathnet  mathscinet  zmath 1
48. A. P. Shirokov, “On a class of spaces over algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 1,  163–170  mathnet  mathscinet  zmath 1
1954
49. A. P. Shirokov, “The geometry of generalized biaxial spaces”, Uchenye Zapiski Kazanskogo Universiteta, 114:2 (1954),  123–166  mathnet  mathscinet 3
1951
50. A. P. Shirokov, “Замечание к теории $A$-пространств”, Uchenye Zapiski Kazanskogo Universiteta, 111:8 (1951),  97–103  mathnet

1997
51. A. P. Shirokov, “Preface”, Tr. Geom. Semin., 23 (1997),  5–6  mathnet
1995
52. A. P. Shirokov, “Предисловие”, In mem. Lobatschevskii, 3:1 (1995),  3  mathnet
53. V. V. Vishnevskii, V. R. Kaigorodov, A. P. Shirokov, “Petr Alekseevich Shirokov (on the 100th anniversary of his birth)”, Uspekhi Mat. Nauk, 50:2(302) (1995),  227–229  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 457–459  isi
1993
54. V. V. Vishnevskii, B. N. Shapukov, A. P. Shirokov, “Aleksandr Petrovich Norden (obituary)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 2,  90–91  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:2 (1993), 87–88
55. V. V. Vishnevskii, B. N. Shapukov, A. P. Shirokov, M. A. Akivis, A. T. Fomenko, S. P. Novikov, Ya. G. Sinai, “Aleksandr Petrovich Norden (obituary)”, Uspekhi Mat. Nauk, 48:4(292) (1993),  169–170  mathnet  mathscinet; Russian Math. Surveys, 48:4 (1993), 185–187  isi
56. V. S. Malakhovskii, N. M. Ostianu, È. G. Poznyak, V. S. Sobchuk, A. S. Fedenko, P. A. Shirokov, “Nikolai Stepanovich Sinyukov (obituary)”, Uspekhi Mat. Nauk, 48:1(289) (1993),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:1 (1993), 159–161  isi
1991
57. A. P. Norden, A. P. Shirokov, “The scientific work of Professor V. V. Vishnevskii (on the occasion of his 60th birthday)”, Tr. Geom. Semin., 21 (1991),  17–20  mathnet  mathscinet  zmath
1990
58. N. S. Sinyukov, A. Ya. Sultanov, A. P. Shirokov, “Ivan Petrovich Egorov (on his seventy-fifth birthday)”, Uspekhi Mat. Nauk, 45:4(274) (1990),  177–178  mathnet  mathscinet; Russian Math. Surveys, 45:4 (1990), 203–205  isi
1986
59. A. P. Norden, B. N. Shapukov, A. P. Shirokov, “New papers of Boris Lukich Laptev (on the occasion of his 80th birthday)”, Tr. Geom. Semin., 17 (1986),  7–12  mathnet  mathscinet  zmath
1982
60. V. V. Vishnevskii, V. G. Kopp, B. L. Laptev, A. P. Norden, A. P. Shirokov, Sh. A. Yafarov, “Valentin Ivanovich Shulikovskii (on the occasion of his 60th birthday)”, Tr. Geom. Semin., 14 (1982),  5–8  mathnet  mathscinet  zmath
1981
61. Yu. I. Ermakov, B. L. Laptev, A. E. Liber, A. P. Norden, A. P. Shirokov, “In memory of Viktor Vladimirovich Vagner”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 10,  85–88  mathnet  mathscinet  zmath
1980
62. V. V. Vishnevskii, N. B. Il'inskii, A. P. Norden, B. N. Shapukov, A. P. Shirokov, “Boris Lukich Laptev (on the occasion of his 75th birthday)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 10,  3–5  mathnet  mathscinet  zmath
1974
63. V. V. Vishnevskii, V. G. Kopp, B. L. Laptev, A. P. Shirokov, V. I. Shulikovskii, “Norden Aleksandr Petrovich (on the occasion of his seventieth birthday)”, Trudy Sem. Kaf. Geom., 7 (1974),  7–19  mathnet  mathscinet  zmath 1
1964
64. V. G. Kopp, B. L. Laptev, A. P. Shirokov, V. I. Shulikovskii, “Aleksandr Petrovich Norden (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 19:5(119) (1964),  171–179  mathnet  mathscinet  zmath; Russian Math. Surveys, 19:5 (1964), 109–117 3

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