Yu. A. Aminov

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All published works

Action	Title	Year	Authors
+	The action of the Monge-Ampère operator on polynomials in the plane and its fixed points of polynomial type	2019	Yu. A. Aminov
+	Two-Dimensional Surfaces in 3-Dimensional and 4-Dimensional Euclidean Spaces. Results and Unsolved Problems	2019	Yu. A. Aminov
+	To Hopf’s conjecture about metric on topological product S2 × S2 of two 2-spheres	2018	Yu. A. Aminov
+	Stable and unstable minimal surfaces and Hopf’s problem	2016	Yu. A. Aminov
+	Polynomial solutions of the Monge-Ampère equation	2014	Yu. A. Aminov
+	On the Monge-Ampére equation in a polynomial domain	2013	Yu. A. Aminov
+	On the solution of the monge-ampere equation z(xx)z(yy)-z(xy)(2)=f(x, y) with quadratic right side	2011	Yu. A. Aminov Kadri Arslan Bengü Bayram Betül Bulca Cengizhan Murathan Günay Öztürk
+	Physical interpretation of certain ruled surfaces in $ E^3$ in terms of the motion of a point charge	2006	Yu. A. Aminov
+	Gaussian torsion of a 2-dimensional surface defined implicitly in 4-dimensional Euclidean space	2004	Yu. A. Aminov Marzena Szajewska
+	None	2002	Yu. A. Aminov
+	On Bianchi and Bäcklund transformations of two dimensional surfaces in four dimensional Euclidean space	2001	Yu. A. Aminov A. Sym
+	The Geometry of Submanifolds	2001	Yu. A. Aminov
+	The Geometry of Submanifolds	2001	Yu. A. Aminov
+	On a problem of Hopf	2000	Yu. A. Aminov
+	The Geometry of Vector Fields	2000	Yu. A. Aminov
+	None	2000	Yu. A. Aminov A. Sym
+	Expression of the riemann tensor of a submanifold defined by a system of equations in euclidean space	1999	Yu. A. Aminov
+ PDF Chat	Isometric immersions of domains of Lobachevski space in Euclidean spaces	1999	Yu. A. Aminov
+	Geometry of the Grassmann image of a local isometric immersion of Lobachevskii<i>n</i>-dimensional isometric immersion of Lobachevskii<i>n</i>-dimensional	1997	Yu. A. Aminov
+	Surfaces inE 4 with a Gaussian curvature coinciding with a Gaussian torsion up to the sign	1994	Yu. A. Aminov
+	The curvatures of asymptotic lines on a domain of three-dimensional Lobachevsky space that is immersed intoE 5	1994	Yu. A. Aminov
+ PDF Chat	A lower bound for the volume of a four-dimensional closed manifold	1994	Yu. A. Aminov
+	Asymptotic curves of submanifolds	1992	Yu. A. Aminov
+	A uniqueness theorem for curves in E3-trigonometric polynomials	1992	Yu. A. Aminov
+	ON THE NONBENDABILITY OF CLOSED SURFACES OF TRIGONOMETRIC TYPE	1992	Yu. A. Aminov
+ PDF Chat	Surfaces in E4 with a Gaussian torsion of constant sign	1991	Yu. A. Aminov
+ PDF Chat	On function-degenerate immersions of a Lobachevsky plane into E4	1991	Yu. A. Aminov
+	ISOMETRIC IMMERSIONS, WITH FLAT NORMAL CONNECTION, OF DOMAINS OF $ n$-DIMENSIONAL LOBACHEVSKY SPACE INTO EUCLIDEAN SPACES. A MODEL OF A GAUGE FIELD	1990	Yu. A. Aminov
+	On immersions ofn-dimensional Lobachevski� space in 2n-dimensional Euclidean space withn principal direction fields	1990	Yu. A. Aminov
+	A MULTIDIMENSIONAL GENERALIZATION OF THE GAUSS-BONNET FORMULA FOR VECTOR FIELDS IN EUCLIDEAN SPACE	1989	Yu. A. Aminov
+	Condition of holonomicity of characteristic directions of a submanifold	1987	Yu. A. Aminov
+	Conditions for polygonal lines and polyhedra in E3 to be closed	1985	Yu. A. Aminov
+ PDF Chat	Embedding problems: Geometric and topological aspects	1984	Yu. A. Aminov
+	DEFINING A SURFACE IN 4-DIMENSIONAL EUCLIDEAN SPACE BY MEANS OF ITS GRASSMANN IMAGE	1983	Yu. A. Aminov
+	Nikolai Vladimirovich Efimov (on his seventieth birthday)	1981	P S Aleksandrov A. D. Aleksandrov Yu. A. Aminov O A Oleĭnik А. В. Погорелов E G Poznyak E R Rozendorn I. Kh. Sabitov
+	Divergence properties of curvatures of a vector field and a family of surfaces	1968	Yu. A. Aminov
+	A metric of approximately minimal surfaces	1967	Yu. A. Aminov

Common Coauthors

Coauthor	Papers Together
A. Sym	2
I. Kh. Sabitov	1
E G Poznyak	1
E R Rozendorn	1
O A Oleĭnik	1
Betül Bulca	1
Günay Öztürk	1
Marzena Szajewska	1
Cengizhan Murathan	1
Kadri Arslan	1
A. D. Aleksandrov	1
P S Aleksandrov	1
Bengü Bayram	1
А. В. Погорелов	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Über die Lösungen der Differentialgleichungrt−s 2=1	1954	Konrad Jörgens	4
+	Bäcklund's Theorem for n-Dimensional Submanifolds of R 2n - 1	1980	Keti Tenenblat Chuu-Lian Terng	4
+	On the improper convex affine hyperspheres	1972	А. В. Погорелов	3
+ PDF Chat	Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.	1958	Eugenio Calabi	3
+	ISOMETRIC IMMERSIONS, WITH FLAT NORMAL CONNECTION, OF DOMAINS OF $ n$-DIMENSIONAL LOBACHEVSKY SPACE INTO EUCLIDEAN SPACES. A MODEL OF A GAUGE FIELD	1990	Yu. A. Aminov	2
+ PDF Chat	Quelques propriétés globales des espaces de Riemann	1942	Alexandre Preissmann	2
+	ISOMETRIC IMMERSIONS OF TWO-DIMENSIONAL RIEMANNIAN METRICS IN EUCLIDEAN SPACE	1973	É. G. Poznyak	2
+ PDF Chat	О полиномиальных решениях уравнения Монжа - Ампера	2014	Юрий Ахметович Аминов Yurii Akhmetovich Aminov	2
+ PDF Chat	Intersections of minimal submanifolds in manifolds of partially positive curvature	1995	Katsuei Kenmotsu Chang Xia	2
+	A Higher Dimension Generalization of the Sine-Gordon Equation and its Soliton Theory	1980	Chuu-Lian Terng	2
+	The Existence of Minimal Immersions of 2-Spheres	1981	J. Sacks Karen Uhlenbeck	2
+	On the Curvatura Integra in a Riemannian Manifold	1945	Shiing-Shen Chern	2
+	On the Monge-Ampére equation in a polynomial domain	2013	Yu. A. Aminov	2
+	Entire solutions of the degenerate Monge–Ampère equation with a finite number of singularities	2016	José A. Gálvez Barbara Nelli	2
+ PDF Chat	On the topology of positively curved 4-manifolds with symmetry	1989	Wu-Yi Hsiang Bruce Kleiner	1
+ PDF Chat	Height functions on surfaces with three critical points	1975	Thomas Banchoff Floris Takens	1
+ PDF Chat	Total curvature and total absolute curvature of immersed submanifolds of spheres	1974	Joel L. Weiner	1
+	Extrinsic Geometry of Convex Surfaces	1973	А. В. Погорелов	1
+	Foliations on Riemannian Manifolds	1988	Philippe Tondeur	1
+ PDF Chat	Local isometric imbedding of Riemannian $n$-manifolds into Euclidean $(n+1)$-space	1977	Jaak Vilms	1
+ PDF Chat	Minimum imbeddings of compact symmetric spaces of rank one	1968	Shin-sheng Tai	1
+ PDF Chat	Cylindricity of isometric immersions between hyperbolic spaces	1978	Stephanie Alexander Esther Portnoy	1
+	Differential geometry of submanifolds	1977	Yu. G. Lumiste	1
+	Knotted (4k - 1)-Spheres in 6k-Space	1962	André Haefliger	1
+ PDF Chat	An inequality involving the length, curvature, and torsions of a curve in Euclidean<i>n</i>-space	1978	Joel L. Weiner	1
+	Isometric imbeddings of compact symmetric spaces	1968	Shôshichi Kobayashi	1
+ PDF Chat	Surfaces of negative curvature	1976	�. G. Poznyak E. V. Shikin	1
+ PDF Chat	Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space	1978	Robert J. Daverman	1
+ PDF Chat	Imbeddings, immersions, and characteristic classes of differentiable manifolds	1978	Stavros Papastavridis	1
+ PDF Chat	Sur le plongement de certaines variétés riemaniennes à deux dimensions dans l'espace euclidien à quatre dimensions	1979	Paul Vincensini	1
+ PDF Chat	Codimension two submanifolds of positive curvature	1978	John Douglas Moore	1
+	Leçons sur l'intégration des équations aux dérivées partielles du second ordre à deux variables indépendantes:	1896	Édouard Goursat	1
+ PDF Chat	Isometric immersions of Riemannian products in Euclidean space	1976	Stephanie Alexander Robert Maltz	1
+	Totally geodesic foliations	1980	David L. Johnson Lee Whitt	1
+	Polynomial solutions of the Monge-Ampère equation	2014	Yu. A. Aminov	1
+ PDF Chat	Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection	1972	Joseph Erbacher	1
+	Normal characteristic forms: Conformal invariance and duality	1978	John Douglas Moore James H. White	1
+ PDF Chat	The immersion conjecture for 𝑅𝑃^{8𝑙+7} is false	1978	Donald M. Davis Mark Mahowald	1
+	Manifolds of nonpositive curvature with small volume	1981	Sergei Buyalo	1
+	Conformal correspondence of metrics and smoothnes of isometric immersions	1979	S. Z. Shefel’	1
+ PDF Chat	Non-immersion theorems for lens spaces	1966	Teiichi KOBAYASHI	1
+	Tight topological embeddings of the real projective plane inE 5	1977	Nicolaas H. Kuiper William F. Pohl	1
+ PDF Chat	Ueber eine Klasse auf einander abwickelbarer Flächen.	1861	J. Weingarten	1
+	A non-immersion theorem for hyperbolic manifolds	1985	Frederico Xavier	1
+	Shortest lines on convex surfaces	1984	A. D. Milka	1
+ PDF Chat	Isotropic immersions and Veronese manifolds	1975	Tsutomu Itoh Koichi Ogiue	1
+ PDF Chat	Embeddings and immersions of manifolds in Euclidean space	1975	David R. Bausum	1
+ PDF Chat	Imbeddings of homogeneous spaces with minimum total curvature	1967	Shôshichi Kobayashi	1
+ PDF Chat	Non-immersion and non-embedding theorems for complex Grassmann manifolds	1979	Tamio Sugawara	1
+ PDF Chat	Some remarks on foliations with minimal leaves	1980	André Haefliger	1