## Aminov, Yurii Akhmetovich

Compute Distance To:
 Author ID: aminov.yuriy-a Published as: Aminov, Yu. A.; Aminov, Ju. A.; Aminov, Yu.; Aminov, Yu A.; Aminov, Yuriy; Aminov, Yuriy A.; Aminov, Yurij; Aminov, Yuriĭ Akhmetovich; Aminov, Yu more...less External Links: MGP · Math-Net.Ru
 Documents Indexed: 121 Publications since 1968, including 8 Books Co-Authors: 28 Co-Authors with 18 Joint Publications 1,075 Co-Co-Authors
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### Co-Authors

 101 single-authored 3 Cieśliński, Jan L. 2 Aleksandrov, Aleksandr Danilovich 2 Oleĭnik, Ol’ga Arsen’evna 2 Pogorelov, Alekseĭ Vasil’evich 2 Poznyak, Èduard Genrikhovich 2 Rozendorn, Èmil’ Renol’dovich 2 Sabitov, Idzhad Khakovich 2 Sym, Antoni 1 Alexandrov, Victor A. 1 Bayram, Bengu Kilic 1 Bukhshtaber, Viktor Matveevich 1 Dolbilin, Nikolaĭ Petrovich 1 Fomenko, Valentin Trofimovich 1 Gor’kavy, V. A. 1 Gorkavyĭ, V. O. 1 Manzhos, N. V. 1 Murathan, Cengizhan 1 Nasedkina, Ya. S. 1 Nasiedkina, Ia. 1 Novikov, Sergeĭ Petrovich 1 Rabelo, Mauro Luiz 1 Reshetnyak, Yuriĭ Grigor’evich 1 Sadovnichiĭ, Viktor Antonovich 1 Shaevska, M. G. 1 Svyatovets, A. V. 1 Tarasova, T. S. 1 Vasil’ev, Viktor Anatol’evich 1 Witkowska, Joanna
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### Serials

 24 Ukrainskiĭ Geometricheskiĭ Sbornik 11 Mathematics of the USSR, Sbornik 10 Mathematical Notes 10 Matematicheskiĭ Sbornik. Novaya Seriya 9 Matematicheskaya Fizika, Analiz, Geometriya 8 Sbornik: Mathematics 5 Journal of Soviet Mathematics 4 Doklady Mathematics 4 Journal of Mathematical Physics, Analysis, Geometry 3 Russian Mathematics 2 Matematicheskie Zametki 2 Russian Mathematical Surveys 2 Soviet Mathematics. Doklady 2 Journal of Mathematical Sciences (New York) 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Journal of Physics A: Mathematical and General 1 Soviet Physics. Doklady 1 Matematicheskiĭ Sbornik 1 Mathematical Physics, Analysis and Geometry 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Routledge Revivals
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### Fields

 101 Differential geometry (53-XX) 9 Partial differential equations (35-XX) 7 Manifolds and cell complexes (57-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 5 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 3 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

50 Publications have been cited 140 times in 106 Documents Cited by Year
The geometry of submanifolds. Zbl 0978.53001
Aminov, Yu.
2001
The geometry of vector fields. Translated from the Russian by A. Yampol’ski. Zbl 0965.53002
Aminov, Yu.
2000
Geometry of submanifolds. (Geometriya podmnogoobrazij. Proekt “Naukova Kniga”.) Zbl 1049.53002
Aminov, Yu. A.
2002
On Bianchi and Bäcklund transformations of two-dimensional surfaces in $$E^4$$. Zbl 0983.53006
Aminov, Yu.; Sym, A.
2000
Vector field geometry. (Геометрия векторного поля.) Zbl 0724.53004
Aminov, Yu. A.
1990
The exterior diameter of an immersed Riemannian manifold. Zbl 0293.53021
Aminov, Ju. A.
1975
On the immersion of domains of $$n$$-dimensional Lobacevskii space in (2n-1)- dimensional euclidean space. Zbl 0392.53009
Aminov, Ju. A.
1977
On the instability of a minimal surface in an $$n$$-dimensional Riemannian space of positive curvature. Zbl 0377.53004
Aminov, Ju. A.
1978
Determination of a surface in four-dimensional Euclidean space by its Grassmannian image. Zbl 0487.53005
Aminov, Yu. A.
1982
Differential geometry and topology of curves. Translation from the Russian. Zbl 1129.53300
Aminov, Yu.
2000
Isometric immersions of domains of the three-dimensional Lobachevskij space in five-dimensional Euclidean space and the motion of a rigid body. Zbl 0539.53006
Aminov, Yu. A.
1983
Differential geometry and topology of curves. (Дифференциальная геометрия и топология кривых.) Zbl 0628.53001
Aminov, Yu. A.
1987
Isometric immersions of domains of $$n$$-dimensional Lobachevsky space in (2n-1)-dimensional Euclidean space. Zbl 0461.53034
Aminov, Yu. A.
1981
On toroidal submanifolds of constant negative curvature. Zbl 0857.53003
Aminov, Yu. A.; Rabelo, M. L.
1995
Torsion zweidimensionaler Flächen in euklidischen Räumen. Zbl 0333.53003
Aminov, Ju. A.
1975
On the solution of the Monge-Ampère equation $$Z_{xx}Z_{yy}-Z^2_{xy}=f(x,y)$$ with quadratic right side. Zbl 1291.35107
Aminov, Yu; Arslan, K.; Bayram, B.; Bulca, B.; Murathan, C.; Öztürk, G.
2011
A geometric interpretation of the spectral problem for the generalized sine-Gordon system. Zbl 0992.37059
Cieśliński, Jan L.; Aminov, Yuriy A.
2001
Extrinsic geometric properties of the Rozendorn surface, an isometric immersion of the Lobachevskiĭ plane in $$E^{5}$$. Zbl 1191.53042
Aminov, Yu A.
2009
Determination of the surfaces in $$E^ 4$$ with degenerate Grassmannian image. Zbl 0532.53004
Aminov, Yu. A.; Tarasova, T. S.
1983
Holonomicity conditions for principal directions of a submanifold. Zbl 0625.53018
Aminov, Yu. A.
1987
Isometric immersions of domains of $$n$$-dimensional Lobachevskij space in Euclidean spaces with flat normal connection. A gauge field model. Zbl 0663.53018
Aminov, Yu. A.
1988
On surfaces in $$E^ 4$$ with Gaussian torsion of constant sign. Zbl 0667.53006
Aminov, Yu. A.
1988
On the Grassmannian image of a two-dimensional surface in four- dimensional Euclidean space. Zbl 0459.53003
Aminov, Yu. A.
1980
Geometry of wave functions. Zbl 1236.81005
Aminov, Yu. A.
2011
Polynomial solutions of the Monge-Ampère equation. Zbl 1320.35152
Aminov, Yu A.
2014
On functionally-degenerate immersions of the Lobachevskij plane in $$E^ 4$$. Zbl 0727.53013
Aminov, Yu. A.
1990
On the rigidity of closed surfaces of trigonometric type. Zbl 0718.53006
Aminov, Yu. A.
1990
Defining a surface in 4-dimensional Euclidean space by means of its Grassmann image. Zbl 0509.53005
Aminov, Yu. A.
1983
Multidimensional analog of the ”Sine-Gordon” equation and rigid body motion. Zbl 0528.70010
Aminov, Yu. A.
1982
Embedding problems: Geometric and topological aspects. Zbl 0533.53051
Aminov, Yu. A.
1984
Conditions for polygonal lines and polyhedra in $$E^ 3$$ to be closed. Zbl 0591.53003
Aminov, Yu. A.
1985
Isometric immersions, with flat normal connection, of domains of n- dimensional Lobachevsky space into Euclidean spaces. A model of a gauge field. Zbl 0684.53020
Aminov, Yu. A.
1990
Die Bianchitransformation für ein Gebiet eines mehrdimensionalen Lobachevskijschen Raumes. Zbl 0429.53002
Aminov, Yu. A.
1978
Isometrische Einbettungen von Gebieten des $$n$$-dimensionalen Lobachevskijschen Raumes in den (2n-1)-dimensionalen Euklidischen Raum. Zbl 0431.53023
Aminov, Yu. A.
1980
Surfaces in $$E^ 4$$ with a Gaussian curvature coinciding with a Gaussian torsion up to the sign. Zbl 0838.53008
Aminov, Yu. A.
1994
Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems. Zbl 1444.53010
Aminov, Yu. A.
2019
New ideas in differential geometry of submanifolds. 2nd printing. Zbl 1049.53001
Aminov, Yu. A.
2000
An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space. Zbl 1036.53012
Aminov, Yu. A.
2002
The expression of volume of asymptotic parallelepiped. Zbl 1065.53047
Aminov, Yu. A.
2002
On special isometric immersions of domains of Lobachevskii space into Euclidean space. Zbl 1065.53048
Aminov, Yu. A.; Tikhonova, O.
2003
On the regularity of the Bäcklund transformation for pseudospherical surfaces. Zbl 1068.53008
Aminov, Yuriy A.; Cieśliński, Jan L.
2003
A metric of approximately minimal surfaces. Zbl 0167.49805
Aminov, Yu. A.
1968
Divergence properties of curvatures of a vector field and a family of surfaces. Zbl 0188.53703
Aminov, Yu. A.
1968
On Bianchi and Bäcklund transformations of two dimensional surfaces in four dimensional Euclidean space. Zbl 0999.53004
Aminov, Yu.; Sym, A.
2001
Asymptotic curves of submanifolds. Zbl 0828.53019
Aminov, Yu. A.
1992
The geometry of vector fields. Translated from the Russian by A. Yampol’ski. Reprint of the 2000 edition. Zbl 1300.53002
Aminov, Yu.
2014
Conditions on a surface $$F^2 \subset E^n$$ to lie in $$E^4$$. Zbl 1318.53006
Aminov, Yu. A.; Nasiedkina, Ia.
2013
On the Monge-Ampére equation in a polynomial domain. Zbl 1281.35055
Aminov, Yu. A.
2013
Conditions for a two-dimensional surface in $$E^5$$ to be contained in a hypersphere or a hyperplane. Zbl 1294.53005
Aminov, Yu. A.; Nasedkina, Ya. S.
2013
On a problem of Hopf. Zbl 1045.53022
Aminov, Yu. A.
2000
Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems. Zbl 1444.53010
Aminov, Yu. A.
2019
Polynomial solutions of the Monge-Ampère equation. Zbl 1320.35152
Aminov, Yu A.
2014
The geometry of vector fields. Translated from the Russian by A. Yampol’ski. Reprint of the 2000 edition. Zbl 1300.53002
Aminov, Yu.
2014
Conditions on a surface $$F^2 \subset E^n$$ to lie in $$E^4$$. Zbl 1318.53006
Aminov, Yu. A.; Nasiedkina, Ia.
2013
On the Monge-Ampére equation in a polynomial domain. Zbl 1281.35055
Aminov, Yu. A.
2013
Conditions for a two-dimensional surface in $$E^5$$ to be contained in a hypersphere or a hyperplane. Zbl 1294.53005
Aminov, Yu. A.; Nasedkina, Ya. S.
2013
On the solution of the Monge-Ampère equation $$Z_{xx}Z_{yy}-Z^2_{xy}=f(x,y)$$ with quadratic right side. Zbl 1291.35107
Aminov, Yu; Arslan, K.; Bayram, B.; Bulca, B.; Murathan, C.; Öztürk, G.
2011
Geometry of wave functions. Zbl 1236.81005
Aminov, Yu. A.
2011
Extrinsic geometric properties of the Rozendorn surface, an isometric immersion of the Lobachevskiĭ plane in $$E^{5}$$. Zbl 1191.53042
Aminov, Yu A.
2009
On special isometric immersions of domains of Lobachevskii space into Euclidean space. Zbl 1065.53048
Aminov, Yu. A.; Tikhonova, O.
2003
On the regularity of the Bäcklund transformation for pseudospherical surfaces. Zbl 1068.53008
Aminov, Yuriy A.; Cieśliński, Jan L.
2003
Geometry of submanifolds. (Geometriya podmnogoobrazij. Proekt “Naukova Kniga”.) Zbl 1049.53002
Aminov, Yu. A.
2002
An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space. Zbl 1036.53012
Aminov, Yu. A.
2002
The expression of volume of asymptotic parallelepiped. Zbl 1065.53047
Aminov, Yu. A.
2002
The geometry of submanifolds. Zbl 0978.53001
Aminov, Yu.
2001
A geometric interpretation of the spectral problem for the generalized sine-Gordon system. Zbl 0992.37059
Cieśliński, Jan L.; Aminov, Yuriy A.
2001
On Bianchi and Bäcklund transformations of two dimensional surfaces in four dimensional Euclidean space. Zbl 0999.53004
Aminov, Yu.; Sym, A.
2001
The geometry of vector fields. Translated from the Russian by A. Yampol’ski. Zbl 0965.53002
Aminov, Yu.
2000
On Bianchi and Bäcklund transformations of two-dimensional surfaces in $$E^4$$. Zbl 0983.53006
Aminov, Yu.; Sym, A.
2000
Differential geometry and topology of curves. Translation from the Russian. Zbl 1129.53300
Aminov, Yu.
2000
New ideas in differential geometry of submanifolds. 2nd printing. Zbl 1049.53001
Aminov, Yu. A.
2000
On a problem of Hopf. Zbl 1045.53022
Aminov, Yu. A.
2000
On toroidal submanifolds of constant negative curvature. Zbl 0857.53003
Aminov, Yu. A.; Rabelo, M. L.
1995
Surfaces in $$E^ 4$$ with a Gaussian curvature coinciding with a Gaussian torsion up to the sign. Zbl 0838.53008
Aminov, Yu. A.
1994
Asymptotic curves of submanifolds. Zbl 0828.53019
Aminov, Yu. A.
1992
Vector field geometry. (Геометрия векторного поля.) Zbl 0724.53004
Aminov, Yu. A.
1990
On functionally-degenerate immersions of the Lobachevskij plane in $$E^ 4$$. Zbl 0727.53013
Aminov, Yu. A.
1990
On the rigidity of closed surfaces of trigonometric type. Zbl 0718.53006
Aminov, Yu. A.
1990
Isometric immersions, with flat normal connection, of domains of n- dimensional Lobachevsky space into Euclidean spaces. A model of a gauge field. Zbl 0684.53020
Aminov, Yu. A.
1990
Isometric immersions of domains of $$n$$-dimensional Lobachevskij space in Euclidean spaces with flat normal connection. A gauge field model. Zbl 0663.53018
Aminov, Yu. A.
1988
On surfaces in $$E^ 4$$ with Gaussian torsion of constant sign. Zbl 0667.53006
Aminov, Yu. A.
1988
Differential geometry and topology of curves. (Дифференциальная геометрия и топология кривых.) Zbl 0628.53001
Aminov, Yu. A.
1987
Holonomicity conditions for principal directions of a submanifold. Zbl 0625.53018
Aminov, Yu. A.
1987
Conditions for polygonal lines and polyhedra in $$E^ 3$$ to be closed. Zbl 0591.53003
Aminov, Yu. A.
1985
Embedding problems: Geometric and topological aspects. Zbl 0533.53051
Aminov, Yu. A.
1984
Isometric immersions of domains of the three-dimensional Lobachevskij space in five-dimensional Euclidean space and the motion of a rigid body. Zbl 0539.53006
Aminov, Yu. A.
1983
Determination of the surfaces in $$E^ 4$$ with degenerate Grassmannian image. Zbl 0532.53004
Aminov, Yu. A.; Tarasova, T. S.
1983
Defining a surface in 4-dimensional Euclidean space by means of its Grassmann image. Zbl 0509.53005
Aminov, Yu. A.
1983
Determination of a surface in four-dimensional Euclidean space by its Grassmannian image. Zbl 0487.53005
Aminov, Yu. A.
1982
Multidimensional analog of the ”Sine-Gordon” equation and rigid body motion. Zbl 0528.70010
Aminov, Yu. A.
1982
Isometric immersions of domains of $$n$$-dimensional Lobachevsky space in (2n-1)-dimensional Euclidean space. Zbl 0461.53034
Aminov, Yu. A.
1981
On the Grassmannian image of a two-dimensional surface in four- dimensional Euclidean space. Zbl 0459.53003
Aminov, Yu. A.
1980
Isometrische Einbettungen von Gebieten des $$n$$-dimensionalen Lobachevskijschen Raumes in den (2n-1)-dimensionalen Euklidischen Raum. Zbl 0431.53023
Aminov, Yu. A.
1980
On the instability of a minimal surface in an $$n$$-dimensional Riemannian space of positive curvature. Zbl 0377.53004
Aminov, Ju. A.
1978
Die Bianchitransformation für ein Gebiet eines mehrdimensionalen Lobachevskijschen Raumes. Zbl 0429.53002
Aminov, Yu. A.
1978
On the immersion of domains of $$n$$-dimensional Lobacevskii space in (2n-1)- dimensional euclidean space. Zbl 0392.53009
Aminov, Ju. A.
1977
The exterior diameter of an immersed Riemannian manifold. Zbl 0293.53021
Aminov, Ju. A.
1975
Torsion zweidimensionaler Flächen in euklidischen Räumen. Zbl 0333.53003
Aminov, Ju. A.
1975
A metric of approximately minimal surfaces. Zbl 0167.49805
Aminov, Yu. A.
1968
Divergence properties of curvatures of a vector field and a family of surfaces. Zbl 0188.53703
Aminov, Yu. A.
1968
all top 5