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Krivonosov, Leonid Nikolaevich

Co-Author Distance
Author ID: krivonosov.leonid-nikolaevich Recent zbMATH articles by "Krivonosov, Leonid Nikolaevich"
Published as: Krivonosov, L. N.; Krivonosov, Leonid N.; Krivonosov, Leonid Nikolaevich
Documents Indexed: 28 Publications since 1966
Co-Authors: 2 Co-Authors with 17 Joint Publications

Co-Authors

11 single-authored
17 Luk’yanov, Vyacheslav Anatol’evich
1 Voloskova, Lubov V.
all top 5

Serials

9 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
6 Journal of Siberian Federal University. Mathematics & Physics
5 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
4 Russian Mathematics
1 Soviet Mathematics
1 Translations. Series 2. American Mathematical Society
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki
all top 5

Fields

19 Differential geometry (53-XX)
8 Relativity and gravitational theory (83-XX)
6 Quantum theory (81-XX)
3 Partial differential equations (35-XX)
3 General topology (54-XX)
3 Mechanics of particles and systems (70-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

14 Publications have been cited 45 times in 22 Documents Cited by ▼ Year ▼
Connection of Young-Mills equations with Einstein and Maxwell’s equations. Zbl 1524.81084
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
9
2009
Einstein’s equations on a 4-manifold of conformal torsion-free connection. Zbl 1522.83011
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
6
2012
The relationship between the Einstein and Yang-Mills equations. Zbl 1183.81106
Krivonosov, L. N.; Luk’yanov, V. A.
5
2009
Localized sequences in metric spaces. Zbl 0292.54034
Krivonosov, L. N.
4
1974
Purely time-dependent solutions to the Yang-Mills equations on a 4-dimensional manifold with conformal torsion-free connection. Zbl 1522.81233
Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
4
2013
The full decision of Yang-Mills equations for the central-symmetric metrics. Zbl 1521.81174
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
4
2011
Structure of the main tensor of conformally connected torsion free space. Conformal connections on hypersurfaces of projective space. Zbl 1438.53068
Krivonosov, L. N.; Luk’yanov, V. A.
3
2017
The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold. Zbl 1429.37020
Krivonosov, L. N.; Luk’yanov, V. A.
2
2019
Specificity of Petrov classification of (anti-)self-dual zero signature metrics. Zbl 1477.53030
Krivonosov, L. N.; Luk’yanov, V. A.
2
2020
Gauge-invariant tensors of 4-manifold with conformal torsion-free connection and their applications for modeling of space-time. Zbl 1413.53062
Krivonosov, L. N.; Luk’yanov, V. A.
2
2014
Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature. Zbl 1449.53031
Krivonosov, Leonid Nikolaevich; Lukyanov, Vyacheslav Anatol’evich
1
2019
Hermitian metrics with (anti-)self-dual Riemann tensor. Zbl 1499.53092
Krivonosov, Leonid Nikolaevich; Luk’yanov, Vyacheslav Anatol’evich
1
2021
Yang-Mills equations on conformally connected torsion-free 4-manifolds with different signatures. Zbl 1413.53027
Krivonosov, Leonid Nikolaevich; Luk’yanov, Vyacheslav Anatol’evich
1
2017
Parallele und normale Zuordnung zweidimensionaler Flächen im vierdimensionalen euklidischen Raum \(E_ 4\). Zbl 0156.20001
Krivonosov, L. N.
1
1966
Hermitian metrics with (anti-)self-dual Riemann tensor. Zbl 1499.53092
Krivonosov, Leonid Nikolaevich; Luk’yanov, Vyacheslav Anatol’evich
1
2021
Specificity of Petrov classification of (anti-)self-dual zero signature metrics. Zbl 1477.53030
Krivonosov, L. N.; Luk’yanov, V. A.
2
2020
The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold. Zbl 1429.37020
Krivonosov, L. N.; Luk’yanov, V. A.
2
2019
Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature. Zbl 1449.53031
Krivonosov, Leonid Nikolaevich; Lukyanov, Vyacheslav Anatol’evich
1
2019
Structure of the main tensor of conformally connected torsion free space. Conformal connections on hypersurfaces of projective space. Zbl 1438.53068
Krivonosov, L. N.; Luk’yanov, V. A.
3
2017
Yang-Mills equations on conformally connected torsion-free 4-manifolds with different signatures. Zbl 1413.53027
Krivonosov, Leonid Nikolaevich; Luk’yanov, Vyacheslav Anatol’evich
1
2017
Gauge-invariant tensors of 4-manifold with conformal torsion-free connection and their applications for modeling of space-time. Zbl 1413.53062
Krivonosov, L. N.; Luk’yanov, V. A.
2
2014
Purely time-dependent solutions to the Yang-Mills equations on a 4-dimensional manifold with conformal torsion-free connection. Zbl 1522.81233
Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
4
2013
Einstein’s equations on a 4-manifold of conformal torsion-free connection. Zbl 1522.83011
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
6
2012
The full decision of Yang-Mills equations for the central-symmetric metrics. Zbl 1521.81174
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
4
2011
Connection of Young-Mills equations with Einstein and Maxwell’s equations. Zbl 1524.81084
Krivonosov, Leonid N.; Luk’yanov, Vyacheslav A.
9
2009
The relationship between the Einstein and Yang-Mills equations. Zbl 1183.81106
Krivonosov, L. N.; Luk’yanov, V. A.
5
2009
Localized sequences in metric spaces. Zbl 0292.54034
Krivonosov, L. N.
4
1974
Parallele und normale Zuordnung zweidimensionaler Flächen im vierdimensionalen euklidischen Raum \(E_ 4\). Zbl 0156.20001
Krivonosov, L. N.
1
1966
all cited Publications top 5 cited Publications
all top 5

Cited by 12 Authors

16 Krivonosov, Leonid Nikolaevich
16 Luk’yanov, Vyacheslav Anatol’evich
3 Gurdal, Mehmet
2 Nabiev, Anar Adiloglu
2 Savaş, Ekrem
1 Belova, Olga O.
1 Malykhin, Vyacheslav Ivanovich
1 Ponomarev, Vladimir Ivanovich
1 Rouxel, Bernard
1 Sarı, Nur
1 Voloskova, Lubov V.
1 Yamanci, Ulas
all top 5

Cited in 11 Serials

6 Journal of Siberian Federal University. Mathematics & Physics
5 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Russian Mathematics
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Journal of Mathematical Sciences (New York)
1 Honam Mathematical Journal
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Journal of Applied Analysis and Computation
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki
all top 5

Cited in 12 Fields

16 Differential geometry (53-XX)
7 Relativity and gravitational theory (83-XX)
5 Quantum theory (81-XX)
3 Sequences, series, summability (40-XX)
3 Mechanics of particles and systems (70-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

Citations by Year