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Krivonosov, Leonid Nikolaevich
Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 26

Number of views:
This page:1021
Abstract pages:9233
Full texts:3598
References:787
Associate professor
Candidate of physico-mathematical sciences
Speciality: 01.01.04 (Geometry and topology)
Birth date: 31.01.1937
E-mail:
Keywords: Einstein equations, Yang–Mills equations, conformally connected manifold.

Subject:

Conformal models of space-time, conformally connected manifolds.
   
Main publications:
  1. Krivonosov L. N., Lukyanov V. A., “Svyaz uravnenii Yanga–Millsa s uravneniyami Einshteina”, Izvestiya vuzov. Matematika, 2009, № 9, 69–74  mathnet
  2. Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Svyaz uravnenii Yanga-Millsa s uravneniyami Einshteina i Maksvella”, Zhurn. SFU. Ser. Matem. i fiz., 2:4 (2009), 432–448
  3. Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Uravneniya Einshteina na chetyrekhmernom mnogoobrazii konformnoi svyaznosti bez krucheniya”, Zhurn. SFU. Ser. Matem. i fiz., 5:3 (2012), 393–408
  4. Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Polnoe reshenie uravnenii Yanga–Millsa dlya tsentralno-simmetricheskoi metriki”, Zhurn. SFU. Ser. Matem. i fiz., 4:3 (2011), 350–362

https://www.mathnet.ru/eng/person36147
List of publications on Google Scholar
List of publications on ZentralBlatt
https://orcid.org/0000-0002-3533-9595
https://www.scopus.com/authid/detail.url?authorId=56116955100

Publications in Math-Net.Ru Citations
2022
1. L. N. Krivonosov, V. A. Lukyanov, “(Anti) self-dual Einstein metrics of zero signature, their Petrov classes and connection with Kahler and para-Kahler structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9,  39–53  mathnet; Russian Math. (Iz. VUZ), 66:9 (2022), 33–45
2021
2. L. N. Krivonosov, V. A. Lukyanov, “Hermitian metrics with (anti-)self-dual Riemann tensor”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021),  616–633  mathnet  zmath  elib 1
2020
3. L. N. Krivonosov, V. A. Luk"yanov, “Specificity of Petrov classification of (anti-)self-dual zero signature metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9,  56–67  mathnet; Russian Math. (Iz. VUZ), 64:9 (2020), 50–60  isi  scopus 2
2019
4. L. N. Krivonosov, V. A. Lukyanov, “The main theorem for (anti)self-dual conformal torsion-free connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2,  29–38  mathnet; Russian Math. (Iz. VUZ), 63:2 (2019), 25–34  isi  scopus 2
5. L. N. Krivonosov, V. A. Lukyanov, “Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019),  207–228  mathnet  elib 1
2018
6. L. N. Krivonosov, V. A. Luk'yanov, “Conformal connection with scalar curvature”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018),  22–35  mathnet  elib
2017
7. L. N. Krivonosov, V. A. Luk'yanov, “The structure of the main tensor of conformally connected torsion-free space. Conformal connections on hypersurfaces of projective space”, Sib. J. Pure and Appl. Math., 17:2 (2017),  21–38  mathnet; J. Math. Sci., 231:2 (2018), 189–205 3
8. V. A. Luk'yanov, L. N. Krivonosov, “Yang–Mills equations on conformally connected torsion-free 4-manifolds with different signatures”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017),  633–650  mathnet  zmath  elib 1
2015
9. L. N. Krivonosov, V. A. Luk'yanov, “The complete solution of the Yang-Mills equations for centrally symmetric metric in the presence of electromagnetic field”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015),  462–473  mathnet  zmath  elib
2014
10. Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Solving Yang–Mills equations for 4-metrics of Petrov types II, N, III”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014),  472–488  mathnet
11. Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, Lubov V. Voloskova, “Extremal curves in the conformal space and in an associated bundle”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014),  68–78  mathnet
12. L. N. Krivonosov, V. A. Luk'yanov, “Gauge-invariant Tensors of 4-Manifold with Conformal Torsion-free Connection and their Applications for Modeling of Space-time”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(35) (2014),  180–198  mathnet  zmath  elib 2
2013
13. Leonid N. Krivonosov, Vyacheslav A. Lukyanov, “Purely time-dependent solutions to the Yang–Mills equations on a $4$-dimensional manifold with conformal torsion-free connection”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013),  40–52  mathnet 4
2012
14. Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “Einstein's equations on a $4$-manifold of conformal torsion-free connection”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012),  393–408  mathnet 6
2011
15. Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “The full decision of Young–Mills equations for the central-symmetric metrics”, J. Sib. Fed. Univ. Math. Phys., 4:3 (2011),  350–362  mathnet 4
2009
16. L. N. Krivonosov, V. A. Luk'yanov, “The relationship between the Einstein and Yang–Mills equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9,  69–74  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:9 (2009), 62–66 5
17. Leonid N. Krivonosov, Vyacheslav A. Luk'yanov, “Connection of Young-Mills Equations with Einstein and Maxwell's Equations”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009),  432–448  mathnet 9
1981
18. L. N. Krivonosov, “Geometric interpretation of a system of Bers–Gelbart equations and similar systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6,  75–77  mathnet  mathscinet  zmath
1978
19. L. N. Krivonosov, “Two topological invariants of metrizable spaces and their connection with dimension”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 7,  46–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:7 (1978), 37–40
1975
20. L. N. Krivonosov, “A certain extension of metric spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 4,  33–36  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:4 (1975), 26–28
1974
21. L. N. Krivonosov, “Localized sequences in metric spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 4,  45–54  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:4 (1974), 37–44
1972
22. L. N. Krivonosov, “A certain method of prescribing a pre-Hilbertian norm”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 1,  52–54  mathnet  mathscinet  zmath
1968
23. L. N. Krivonosov, “Principal nets of parallel and normal correspondence of surfaces in $E_4$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 1,  81–91  mathnet  mathscinet  zmath
1966
24. L. N. Krivonosov, “Surfaces in $E_4$ generating a sequence of evolute surfaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 6,  74–84  mathnet  mathscinet  zmath
25. L. N. Krivonosov, “Parallel and normal correspondence of two-dimensional surfaces in the four-dimensional Euclidean space $E_4$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 5,  78–87  mathnet  mathscinet  zmath
1963
26. L. N. Krivonosov, “On circles of conformal space”, Uchenye Zapiski Kazanskogo Universiteta, 123:1 (1963),  78–102  mathnet  mathscinet
1969
27. L. N. Krivonosov, “Letter to the editors”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 3,  127  mathnet  zmath

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