Edit Profile (opens in new tab) Aleksandrov, Aleksandr Danilovich Compute Distance To: Compute Author ID: aleksandrov.a-d Published as: Aleksandrov, A. D.; Alexandroff, A. D.; Alexandroff, A.; Alexandrov, A.; Alexandrov, A. D.; Alexandrow, A. D.; Aleksandroff, A. D.; Aleksandrow, A. D. more...less Further Spellings: Александров Александр Данилович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 203 Publications since 1933, including 16 Books 8 Contributions as Editor Biographic References: 48 Publications Co-Authors: 65 Co-Authors with 61 Joint Publications 1,914 Co-Co-Authors all top 5 Co-Authors 148 single-authored 11 Reshetnyak, Yuriĭ Grigor’evich 10 Kutateladze, Semën Samsonovich 9 Pogorelov, Alekseĭ Vasil’evich 7 Zalgaller, Viktor Abramovich 6 Poznyak, Èduard Genrikhovich 5 Novikov, Sergeĭ Petrovich 5 Rubinshteĭn, Gennadiĭ Shlemovich 4 Faddeev, Dmitriĭ Konstantinovich 4 Gavurin, Mark Konstantinovich 4 Kolmogorov, Andreĭ Nikolaevich 4 Lavrent’ev, Mikhail Alekseevich 4 Makarov, Valeriĭ Leonidovich 4 Rozendorn, Èmil’ Renol’dovich 4 Sabitov, Idzhad Khakovich 4 Sobolev, Sergeĭ L’vovich 3 Marchenko, Vladimir Aleksandrovich 3 Nikolaev, Yu. P. 3 Strel’tsov, V. V. 3 Volkov, Yuriĭ Aleksandrovich 2 Aganbegyan, A. G. 2 Aleksandrov, Pavel Sergeevich 2 Aminov, Yurii Akhmetovich 2 Burago, Yuriĭ Dmitrievich 2 Faddeev, Lyudvig Dmitrievich 2 Kopylov, Anatoliĭ Pavlovich 2 Kuz’minykh, Aleksandr Veniaminovich 2 Oleĭnik, Ol’ga Arsen’evna 2 Oskolkov, Anatolii Petrovich 2 Rashevskiĭ, Pëtr Konstantinovich 2 Romanovskiĭ, Iosif Vladimirovich 2 Sen’kin, E. P. 2 Shajdenko, Anna Viktorovna 2 Stechkin, Sergeĭ Borisovich 2 Ural’tseva, Nina Nikolaevna 1 Bashmakov, M. I. 1 Belegradek, Oleg V. 1 Berestovskiĭ, Valeriĭ Nikolaevich 1 Blank, Yakov Pavlovich 1 Bokut, Leonid A. 1 Borevich, Zenon Ivanovich 1 Borisenko, Aleksandr Andreevich 1 Delone, Boris Nikolaevich 1 Demidov, Sergeĭ Sergeevich 1 Efimov, Nikolaĭ Vladimirovich 1 Ershov, Yuriĭ Leonidovich 1 Grigor’yan, Ashot Tigranovich 1 Khruslov, Eugene Yakovlevich 1 Kublanovskaya, Vera Nikolaevna 1 Kusraev, Anatoly Georgievich 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Maslov, Klavdii V. 1 Matvievskaya, Galina Pavlovna 1 Milka, Anatoliy D. 1 Monov, Vladimir V. 1 Netsvetaev, Nikita Yu. 1 Nikolaev, Igor Georgievich 1 Nikolov, Geno P. 1 Nikulin, Mikhail Stepanovich 1 Padurov, N. 1 Pimenov, R. I. 1 Shor, L. A. 1 Sirazhdinov, Sagdy Khasanovich 1 Skopin, A. I. 1 Skrypnyk, Igor Volodymyrovych 1 Solomyak, Mikhaĭl Zakharovich 1 Tashev, Tasho D. 1 Vladimirova, S. M. 1 Yakovlev, Anatoliĭ Vladimirovich 1 Yushkevich, Adol’f Pavlovich all top 5 Serials 24 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 22 Recueil Mathématique. Nouvelle Série 17 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 12 Russian Mathematical Surveys 12 Uspekhi Matematicheskikh Nauk [N. S.] 12 Soviet Mathematics. Doklady 10 Doklady Akademii Nauk SSSR. Novaya Seriya 9 Siberian Mathematical Journal 8 Sibirskiĭ Matematicheskiĭ Zhurnal 8 Translations. Series 2. American Mathematical Society 5 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Automation and Remote Control 3 Proceedings of the Steklov Institute of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Časopis Pro Pěstování Matematiky 2 Bulletin de l’Académie des Sciences de l’URSS. VII. Série 2 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 2 Translations of Mathematical Monographs 1 Canadian Journal of Mathematics 1 Journal of Soviet Mathematics 1 Voprosy Istorii Estestvoznaniya i Tekhniki 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Historia Mathematica 1 Vestnik Leningrad University. Mathematics 1 Matematicheskie Struktury i Modelirovanie 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 Mathematics and Its Applications. Soviet Series 1 Classics of Soviet Mathematics 1 Springer Monographs in Mathematics 1 Translations. Series 2. American Mathematical Society all top 5 Fields 44 Convex and discrete geometry (52-XX) 44 Differential geometry (53-XX) 34 History and biography (01-XX) 16 Geometry (51-XX) 10 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 General topology (54-XX) 3 Systems theory; control (93-XX) 2 Partial differential equations (35-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 1,261 times in 1,083 Documents Cited by ▼ Year ▼ A characteristic property of spheres. Zbl 0107.15603Aleksandrov, A. D. 171 1962 Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. Zbl 0018.27601Aleksandrov, A. D. 61 1937 Intrinsic geometry of surfaces. Zbl 0146.44103Aleksandrov, A. D.; Zalgaller, V. A. 56 1967 Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604Aleksandrov, A. D. 48 1942 Zur Theorie der gemischten Volumina von konvexen Körpern. I: Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern. Zbl 0017.42603Aleksandrov, A. D. 47 1937 Die innere Geometrie der konvexen Flächen. Zbl 0065.15102Alexandrow, A. D. 47 1955 A contribution to chronogeometry. Zbl 0173.24603Aleksandrov, A. D. 44 1967 Additive set-functions in abstract spaces. JFM 66.0218.01Alexandroff, A. D. 39 1940 Convex polyhedra. (Transl. from the Russian by N. S. Dairbekov, S. S. Kutateladze and A. B. Sossinsky. Comments and bibliography by V. A. Zalgaller. Appendices by L. A. Shor and Yu. A. Volkov). Zbl 1067.52011Alexandrov, A. D. 38 2005 Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201Aleksandrov, A. D. 38 1948 Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603Aleksandrov, A. D. 38 1962 Mappings of families of sets. Zbl 0213.48903Aleksandrov, A. D. 30 1970 Additive set-functions in abstract spaces. Zbl 0060.13502Alexandroff, A. D. 28 1943 Zur Theorie der gemischten Volumina von konvexen Körpern III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. Zbl 0018.42402Aleksandrov, A. D. 27 1938 Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601Aleksandrov, A. D. 27 1962 Additive set-functions in abstract spaces. II. JFM 67.0163.01Alexandroff, A. D. 24 1941 Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605Alexandroff, A. 24 1942 General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002Alexandrov, A. D.; Reshetnyak, Yu. G. 23 1989 Certain estimates for the Dirichlet problem. Zbl 0100.09303Aleksandrov, A. D. 23 1960 Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702Alexandrow, A. D. 22 1957 Uniqueness theorems for surfaces in the large. I–III. (Eindeutigkeitssätze für Flächen „im Großen“. I–III.) Zbl 0101.13801Aleksandrov, A. D. 22 1956 Generalized Riemannian spaces. Zbl 0625.53059Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 21 1986 Dirichlet’s problem for the equation \(\text{Det}\| z_{ij}\| =\varphi (z_ 1,\ldots ,z_ n,z,x_ 1,\ldots ,x_ n)\). I. Zbl 0114.30202Aleksandrov, A. D. 21 1958 Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901Aleksandrov, A. D. 19 1950 Eindeutigkeitsbedingungen und Abschätzungen der Lösung des Dirichlet-Problems. Zbl 0139.05702Aleksandrov, A. D. 19 1963 Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009Aleksandrov, A. D. 18 1975 Zur Theorie der gemischten Volumina von konvexen Körpern. IV.: Die gemischten Diskriminanten und die gemischten Volumina. Zbl 0019.32804Aleksandrov, A. D. 18 1938 Additive set-functions in abstract spaces. Zbl 0023.39701Aleksandrov, A. D. 14 1940 Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902Aleksandrov, A. D. 13 1958 Uniqueness conditions and estimates for the solution of the Dirichlet problem. Zbl 0177.36802Aleksandrov, A. D. 13 1968 Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603Alexandroff, A. 12 1942 Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101Aleksandrov, A. D. 12 1960 Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Двумерные многообразия ограниченной кривизны (Основы внутренней геометрии поверхностей)) (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005Aleksandrov, A. D.; Zalgaller, V. A. 12 1962 Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035Alexandrov, A. D. 10 1996 Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803Aleksandrov, A. D. 10 1948 Ruled surfaces in metric spaces. Zbl 0096.16602Aleksandrov, A. D. 10 1957 On the rigidity of convex surfaces. (Über die Unverbiegbarkeit der konvexen Flächen.) Zbl 0064.40601Aleksandrov, A. D.; Sen’kin, E. P. 9 1955 Zur Theorie der gemischten Volumina von konvexen Körpern. IV: Die gemischten Diskriminanten und die gemischten Volumina. JFM 64.1347.01Alexandroff, A. 8 1938 Untersuchung über das Maximumprinzip. I. Zbl 0123.07101Aleksandrov, A. D. 8 1958 Foundations of geometry. Zbl 0555.51008Aleksandrov, A. D. 7 1984 Ein Satz über Dreiecke im metrischen Raum und einige Anwendungen. Zbl 0049.39501Aleksandrov, A. D. 6 1951 Majorization of solutions of second-order linear equations. Zbl 0177.36803Aleksandrov, A. D. 6 1968 Mappings of families of sets. Zbl 0213.49001Aleksandrov, A. D. 5 1970 Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202Alexandroff, A. D. 5 1939 Additive set-functions in abstract spaces. II. Zbl 0028.07201Aleksandrov, A. D. 5 1941 Complete convex surfaces in Lobachevskian space. Zbl 0061.37607Alexandroff, A. D. 5 1945 Selected works. Vol. I. Geometry and applications. (Избранные труды. Том 1. Геометрия и приложения.) Zbl 1234.01015Aleksandrov, A. D. 4 2006 Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203Alexandroff, A. D. 4 1939 Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303Aleksandrov, A. D. 4 1958 Untersuchungen über das Maximumprinzip. II, III. Zbl 0125.05901Aleksandrov, A. D. 4 1959 Untersuchungen über das Maximumprinzip. IV-VI. Zbl 0133.04405Aleksandrov, A. D. 4 1960 Two-dimensional manifolds of bounded curvature. II. Zbl 0178.00201 4 1965 On congruence-preserving mappings. Zbl 0289.50010Aleksandrov, A. D. 3 1973 Zur Theorie der gemischten Volumina von konvexen Körpern. III: Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. JFM 64.1346.03Alexandroff, A. 3 1938 Zur Theorie der gemischten Volumina von konvexen Körpern. JFM 63.1234.04Alexandroff, A. 3 1937 Isoperimetric inequalities for curved surfaces. Zbl 0061.37608Alexandroff, A. D. 3 1945 On the extension of a Hausdorff space to an \(H\)-closed space. Zbl 0061.39602Alexandroff, A. D. 3 1942 Quasigeodesics. Zbl 0162.25905Aleksandrov, A. D.; Burago, Yu. D. 3 1965 Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z. 2 1991 Mathematics. Its content, methods and meaning. Translated from the Russian by Tamas Bartha, Kurt Hirsch and S. H. Gould. Translation edited by S. H. Gould. Three volumes bound as one. Reprint of the 2nd 1969 edition, published in 3 volumes. Zbl 1049.00004 2 1999 Mapping of affine spaces with systems of cones. Zbl 0352.52002Aleksandrov, A. D. 2 1972 Selected works. Intrinsic geometry of convex surfaces. Vol. 2. Edited by S. S. Kutateladze. Transl. from the Russian by S. Vakhrameyev. Zbl 1081.01024Alexandrov, A. D. 2 2005 Über die Frage nach der Existenz eines konvexen Körpers, bei dem die Summe der Hauptkrümmungsradien eine gegebene positive Funktion ist, welche den Bedingungen der Geschlossenheit genügt. JFM 63.0671.03Alexandrov, A. D. 2 1937 Zur Theorie der gemischten Volumina von konvexen Körpern. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. JFM 63.1235.01Alexandroff, A. 2 1937 Über konvexe Flächen mit ebenen Schattengrenzen. Zbl 0022.40202Alexandroff, A. D. 2 1939 Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802Aleksandrov, A. D. 2 1941 Estimates of the length of a curve on a surface. Zbl 0052.18202Aleksandrov, A. D.; Strel’tsov, V. V. 2 1953 On groups with an invariant measure. Zbl 0063.00052Alexandroff, A. D. 2 1942 An isoperimetric problem and estimates of the length of a curve on a surface. Zbl 0147.22404Aleksandrov, A. D.; Strel’tsov, V. V. 2 1965 The impossibility of general estimates for solutions and of uniqueness conditions for linear equations with norms weaker than in \(L_{n}\). Zbl 0177.36901Aleksandrov, A. D. 2 1968 An inequality of Duffin-Schaeffer type for Hermite polynomials. Zbl 1430.41004Alexandrov, Alexander; Nikolov, Geno 1 2012 On the foundations of relativity theory. Zbl 0359.50013Aleksandrov, A. D. 1 1976 Geometry. Textbook. (Geometriya. Uchebnoe posobie.) Zbl 0727.51001Aleksandrov, A. D.; Netsvetaev, N. Yu. 1 1990 Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B. 1 1983 On a certain generalization of the functional equation \(f(x+y)=f(x)+f(y)\). Zbl 0206.14304Aleksandrov, A. D. 1 1970 Mapping families of cones. Zbl 0226.50009Aleksandrov, A. D. 1 1971 Abbildungen geordneter Räume. I. Zbl 0267.53012Aleksandrov, A. D. 1 1972 Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023Aleksandrov, A. D.; Volkov, Yu. A. 1 1962 Uniqueness theorems for surfaces in the large. III. Translat. by Laurence Young. Zbl 0269.53024Aleksandrov, A. D. 1 1962 Mappings of ordered spaces. I. Zbl 0286.50008Aleksandrov, A. D. 1 1974 The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002Aleksandrov, A. D.; Reshetnyak, Yu. G. 1 1988 Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006Aleksandrov, A. D.; Reshetnyak, Yu. G. 1 1988 Why did Soviet scientists cease to publish abroad: The development of self-sufficiency and isolation of Russian science, 1914-1940. Zbl 0918.01018Aleksandrov, A. D. 1 1996 Mathematische Grundlagen der Kristallstrukturanalyse und die Bestimmung des Elementarparallelepipeds mit Hilfe von Röntgenstrahlen. Zbl 0013.09004Delaunay, B. N.; Paduroff, N.; Alexandroff, A. 1 1934 Neue Ungleichungen für die Mischvolumen konvexer Körper. Zbl 0016.13703Alexandrov, A. 1 1937 Ein allgemeiner Eindeutigkeitssatz für geschlossene Flächen. Zbl 0019.08104Alexandrov, A. 1 1938 On the foundations of geometry. Zbl 0622.51013Aleksandrov, A. D. 1 1987 On the surfaces representable as difference of convex functions. Zbl 1330.01085Aleksandrov, A. D. 1 2012 An application of the theorem on the invariance of domains to existence proofs. JFM 65.0828.02Alexandroff, A. 1 1939 Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03Alexandroff, A. 1 1939 Über eine Klasse geschlossener Flächen. JFM 64.0714.05Alexandroff, A. 1 1938 On the coverings of the plane. JFM 64.1273.04Alexandroff, A. 1 1937 Über den Sinn der Wellenfunktionen. Zbl 0048.44202Aleksandrov, A. D. 1 1952 On Einstein’s paradox in quantum mechanics. (Über das Einsteinsche Paradoxon in der Quantenmechanik.) Zbl 0049.13803Aleksandrov, A. D. 1 1952 The inner metric of a convex surface in a space of constant curvature. Zbl 0061.37606Alexandroff, A. D. 1 1944 Eindeutigkeitssätze für Flächen ”im Großen”. IV. Zbl 0101.13901Aleksandrov, A. D.; Volkov, Yu. A. 1 1958 Eine Bedingung für die Gleichheit geschlossener konvexer Flächen. Zbl 0108.35202Aleksandrov, A. D. 1 1961 Mathematics. Its content, methods and meaning. Part 1: A general view of mathematics. Analysis. Part 2: Analytic geometry. Algebra (theory of the algebraic equation). Ordinary differential equations. Part 3: Partial differential equations. Curves and surfaces. Calculus of variations. Functions of a complex variable. Part 4: Prime numbers. Theory of probability. Approximation of functions. Approximation methods and numerical techniques. Electronic digital computers. Part 5: Theory of functions of a real variable. Linear algebra. Abstract spaces. Part 6: Topology. Functional analysis. Groups and other algebraic systems. Zbl 0111.00103 1 1963 On the maximum principle. Zbl 0143.33801Aleksandrov, A. D. 1 1961 Some estimates for the derivative of a solution of the Dirichlet problem on the boundary. Zbl 0153.14702Aleksandrov, A. D. 1 1967 An inequality of Duffin-Schaeffer type for Hermite polynomials. Zbl 1430.41004Alexandrov, Alexander; Nikolov, Geno 1 2012 On the surfaces representable as difference of convex functions. Zbl 1330.01085Aleksandrov, A. D. 1 2012 Selected works. Vol. I. Geometry and applications. (Избранные труды. Том 1. Геометрия и приложения.) Zbl 1234.01015Aleksandrov, A. D. 4 2006 Convex polyhedra. (Transl. from the Russian by N. S. Dairbekov, S. S. Kutateladze and A. B. Sossinsky. Comments and bibliography by V. A. Zalgaller. Appendices by L. A. Shor and Yu. A. Volkov). Zbl 1067.52011Alexandrov, A. D. 38 2005 Selected works. Intrinsic geometry of convex surfaces. Vol. 2. Edited by S. S. Kutateladze. Transl. from the Russian by S. Vakhrameyev. Zbl 1081.01024Alexandrov, A. D. 2 2005 Mathematics. Its content, methods and meaning. Translated from the Russian by Tamas Bartha, Kurt Hirsch and S. H. Gould. Translation edited by S. H. Gould. Three volumes bound as one. Reprint of the 2nd 1969 edition, published in 3 volumes. Zbl 1049.00004 2 1999 Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035Alexandrov, A. D. 10 1996 Why did Soviet scientists cease to publish abroad: The development of self-sufficiency and isolation of Russian science, 1914-1940. Zbl 0918.01018Aleksandrov, A. D. 1 1996 Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z. 2 1991 Geometry. Textbook. (Geometriya. Uchebnoe posobie.) Zbl 0727.51001Aleksandrov, A. D.; Netsvetaev, N. Yu. 1 1990 General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002Alexandrov, A. D.; Reshetnyak, Yu. G. 23 1989 The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002Aleksandrov, A. D.; Reshetnyak, Yu. G. 1 1988 Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006Aleksandrov, A. D.; Reshetnyak, Yu. G. 1 1988 On the foundations of geometry. Zbl 0622.51013Aleksandrov, A. D. 1 1987 Generalized Riemannian spaces. Zbl 0625.53059Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 21 1986 Foundations of geometry. Zbl 0555.51008Aleksandrov, A. D. 7 1984 Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B. 1 1983 On the foundations of relativity theory. Zbl 0359.50013Aleksandrov, A. D. 1 1976 Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009Aleksandrov, A. D. 18 1975 Mappings of ordered spaces. I. Zbl 0286.50008Aleksandrov, A. D. 1 1974 On congruence-preserving mappings. Zbl 0289.50010Aleksandrov, A. D. 3 1973 Mapping of affine spaces with systems of cones. Zbl 0352.52002Aleksandrov, A. D. 2 1972 Abbildungen geordneter Räume. I. Zbl 0267.53012Aleksandrov, A. D. 1 1972 Mapping families of cones. Zbl 0226.50009Aleksandrov, A. D. 1 1971 Mappings of families of sets. Zbl 0213.48903Aleksandrov, A. D. 30 1970 Mappings of families of sets. Zbl 0213.49001Aleksandrov, A. D. 5 1970 On a certain generalization of the functional equation \(f(x+y)=f(x)+f(y)\). Zbl 0206.14304Aleksandrov, A. D. 1 1970 Uniqueness conditions and estimates for the solution of the Dirichlet problem. Zbl 0177.36802Aleksandrov, A. D. 13 1968 Majorization of solutions of second-order linear equations. Zbl 0177.36803Aleksandrov, A. D. 6 1968 The impossibility of general estimates for solutions and of uniqueness conditions for linear equations with norms weaker than in \(L_{n}\). Zbl 0177.36901Aleksandrov, A. D. 2 1968 Majorants of solutions and uniqueness conditions for elliptic equations. Zbl 0177.36804Aleksandrov, A. D. 1 1968 Intrinsic geometry of surfaces. Zbl 0146.44103Aleksandrov, A. D.; Zalgaller, V. A. 56 1967 A contribution to chronogeometry. Zbl 0173.24603Aleksandrov, A. D. 44 1967 Some estimates for the derivative of a solution of the Dirichlet problem on the boundary. Zbl 0153.14702Aleksandrov, A. D. 1 1967 On mean values of support functions. Zbl 0153.23603Aleksandrov, A. D. 1 1967 The maximum principle. Zbl 0153.42402Aleksandrov, A. D. 1 1967 Two-dimensional manifolds of bounded curvature. II. Zbl 0178.00201 4 1965 Quasigeodesics. Zbl 0162.25905Aleksandrov, A. D.; Burago, Yu. D. 3 1965 An isoperimetric problem and estimates of the length of a curve on a surface. Zbl 0147.22404Aleksandrov, A. D.; Strel’tsov, V. V. 2 1965 Eindeutigkeitsbedingungen und Abschätzungen der Lösung des Dirichlet-Problems. Zbl 0139.05702Aleksandrov, A. D. 19 1963 Mathematics. Its content, methods and meaning. Part 1: A general view of mathematics. Analysis. Part 2: Analytic geometry. Algebra (theory of the algebraic equation). Ordinary differential equations. Part 3: Partial differential equations. Curves and surfaces. Calculus of variations. Functions of a complex variable. Part 4: Prime numbers. Theory of probability. Approximation of functions. Approximation methods and numerical techniques. Electronic digital computers. Part 5: Theory of functions of a real variable. Linear algebra. Abstract spaces. Part 6: Topology. Functional analysis. Groups and other algebraic systems. Zbl 0111.00103 1 1963 A characteristic property of spheres. Zbl 0107.15603Aleksandrov, A. D. 171 1962 Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603Aleksandrov, A. D. 38 1962 Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601Aleksandrov, A. D. 27 1962 Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Двумерные многообразия ограниченной кривизны (Основы внутренней геометрии поверхностей)) (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005Aleksandrov, A. D.; Zalgaller, V. A. 12 1962 Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023Aleksandrov, A. D.; Volkov, Yu. A. 1 1962 Uniqueness theorems for surfaces in the large. III. Translat. by Laurence Young. Zbl 0269.53024Aleksandrov, A. D. 1 1962 Eine Bedingung für die Gleichheit geschlossener konvexer Flächen. Zbl 0108.35202Aleksandrov, A. D. 1 1961 On the maximum principle. Zbl 0143.33801Aleksandrov, A. D. 1 1961 Certain estimates for the Dirichlet problem. Zbl 0100.09303Aleksandrov, A. D. 23 1960 Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101Aleksandrov, A. D. 12 1960 Untersuchungen über das Maximumprinzip. IV-VI. Zbl 0133.04405Aleksandrov, A. D. 4 1960 Untersuchungen über das Maximumprinzip. II, III. Zbl 0125.05901Aleksandrov, A. D. 4 1959 Dirichlet’s problem for the equation \(\text{Det}\| z_{ij}\| =\varphi (z_ 1,\ldots ,z_ n,z,x_ 1,\ldots ,x_ n)\). I. Zbl 0114.30202Aleksandrov, A. D. 21 1958 Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902Aleksandrov, A. D. 13 1958 Untersuchung über das Maximumprinzip. I. Zbl 0123.07101Aleksandrov, A. D. 8 1958 Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303Aleksandrov, A. D. 4 1958 Eindeutigkeitssätze für Flächen ”im Großen”. IV. Zbl 0101.13901Aleksandrov, A. D.; Volkov, Yu. A. 1 1958 Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702Alexandrow, A. D. 22 1957 Ruled surfaces in metric spaces. Zbl 0096.16602Aleksandrov, A. D. 10 1957 Uniqueness theorems for surfaces in the large. I–III. (Eindeutigkeitssätze für Flächen „im Großen“. I–III.) Zbl 0101.13801Aleksandrov, A. D. 22 1956 Die innere Geometrie der konvexen Flächen. Zbl 0065.15102Alexandrow, A. D. 47 1955 On the rigidity of convex surfaces. (Über die Unverbiegbarkeit der konvexen Flächen.) Zbl 0064.40601Aleksandrov, A. D.; Sen’kin, E. P. 9 1955 Estimates of the length of a curve on a surface. Zbl 0052.18202Aleksandrov, A. D.; Strel’tsov, V. V. 2 1953 Über den Sinn der Wellenfunktionen. Zbl 0048.44202Aleksandrov, A. D. 1 1952 On Einstein’s paradox in quantum mechanics. (Über das Einsteinsche Paradoxon in der Quantenmechanik.) Zbl 0049.13803Aleksandrov, A. D. 1 1952 Ein Satz über Dreiecke im metrischen Raum und einige Anwendungen. Zbl 0049.39501Aleksandrov, A. D. 6 1951 Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901Aleksandrov, A. D. 19 1950 Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201Aleksandrov, A. D. 38 1948 Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803Aleksandrov, A. D. 10 1948 Complete convex surfaces in Lobachevskian space. Zbl 0061.37607Alexandroff, A. D. 5 1945 Isoperimetric inequalities for curved surfaces. Zbl 0061.37608Alexandroff, A. D. 3 1945 The inner metric of a convex surface in a space of constant curvature. Zbl 0061.37606Alexandroff, A. D. 1 1944 Additive set-functions in abstract spaces. Zbl 0060.13502Alexandroff, A. D. 28 1943 Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604Aleksandrov, A. D. 48 1942 Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605Alexandroff, A. 24 1942 Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603Alexandroff, A. 12 1942 On the extension of a Hausdorff space to an \(H\)-closed space. Zbl 0061.39602Alexandroff, A. D. 3 1942 On groups with an invariant measure. Zbl 0063.00052Alexandroff, A. D. 2 1942 Additive set-functions in abstract spaces. II. JFM 67.0163.01Alexandroff, A. D. 24 1941 Additive set-functions in abstract spaces. II. Zbl 0028.07201Aleksandrov, A. D. 5 1941 Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802Aleksandrov, A. D. 2 1941 Additive set-functions in abstract spaces. JFM 66.0218.01Alexandroff, A. D. 39 1940 Additive set-functions in abstract spaces. Zbl 0023.39701Aleksandrov, A. D. 14 1940 Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202Alexandroff, A. D. 5 1939 Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203Alexandroff, A. D. 4 1939 Über konvexe Flächen mit ebenen Schattengrenzen. Zbl 0022.40202Alexandroff, A. D. 2 1939 An application of the theorem on the invariance of domains to existence proofs. JFM 65.0828.02Alexandroff, A. 1 1939 Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03Alexandroff, A. 1 1939 Zur Theorie der gemischten Volumina von konvexen Körpern III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. Zbl 0018.42402Aleksandrov, A. D. 27 1938 Zur Theorie der gemischten Volumina von konvexen Körpern. IV.: Die gemischten Diskriminanten und die gemischten Volumina. Zbl 0019.32804Aleksandrov, A. D. 18 1938 Zur Theorie der gemischten Volumina von konvexen Körpern. IV: Die gemischten Diskriminanten und die gemischten Volumina. JFM 64.1347.01Alexandroff, A. 8 1938 Zur Theorie der gemischten Volumina von konvexen Körpern. III: Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. JFM 64.1346.03Alexandroff, A. 3 1938 Ein allgemeiner Eindeutigkeitssatz für geschlossene Flächen. Zbl 0019.08104Alexandrov, A. 1 1938 Über eine Klasse geschlossener Flächen. JFM 64.0714.05Alexandroff, A. 1 1938 Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. Zbl 0018.27601Aleksandrov, A. D. 61 1937 Zur Theorie der gemischten Volumina von konvexen Körpern. I: Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern. Zbl 0017.42603Aleksandrov, A. D. 47 1937 Zur Theorie der gemischten Volumina von konvexen Körpern. JFM 63.1234.04Alexandroff, A. 3 1937 Über die Frage nach der Existenz eines konvexen Körpers, bei dem die Summe der Hauptkrümmungsradien eine gegebene positive Funktion ist, welche den Bedingungen der Geschlossenheit genügt. JFM 63.0671.03Alexandrov, A. D. 2 1937 Zur Theorie der gemischten Volumina von konvexen Körpern. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. JFM 63.1235.01Alexandroff, A. 2 1937 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,171 Authors 17 Schneider, Rolf G. 10 López Camino, Rafael 10 Magnanini, Rolando 9 Alesker, Semyon 9 Lutwak, Erwin 9 Sciunzi, Berardino 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Montoro, Luigi 8 Nikolaev, Igor Georgievich 8 Weth, Tobias 7 Alexandrov, Victor A. 7 Fillastre, François 7 Krylov, Nicolaĭ Vladimirovich 7 Li, Qirui 7 Vîlcu, Costin 7 Zhao, Changjian 6 Aleksandrov, Aleksandr Danilovich 6 Alexander, Stephanie B. 6 Chu, Hahng-Yun 6 Ciraolo, Giulio 6 Goodey, Paul R. 6 Guan, Pengfei 6 Izmestiev, Ivan 6 Sakaguchi, Shigeru 6 Slyn’ko, Vitalii Ivanovich 6 Stratigos, Panagiotis D. 6 Vazquez, Juan Luis 6 Zamfirescu, Tudor I. 5 Bachman, George 5 Bishop, Richard L. 5 Böröczky, Karoly jun. 5 Bueno, Antonio 5 Esposito, Francesco 5 Huang, Xiaotao 5 Huang, Yong 5 Jung, Soon-Mo 5 Kawabe, Jun 5 Reichel, Wolfgang 5 Reshetnyak, Yuriĭ Grigor’evich 5 Roth, Julien 5 Schlenker, Jean-Marc 5 Sedykh, Vyacheslav Dmitrievich 5 Wang, Lihe 5 Weil, Wolfgang 5 Yang, Deane 4 Berg, I. David 4 Bobenko, Alexander Ivanovich 4 Borisenko, Aleksandr Andreevich 4 Chen, Shibing 4 Dai, Limei 4 Farina, Alberto 4 Figalli, Alessio 4 Fragalà, Ilaria 4 Gálvez, Jose Antonio 4 Garofalo, Nicola 4 Gazzola, Filippo 4 Hsiang, Wu-Yi 4 Itoh, Jin-ichi 4 Kopylov, Anatoliĭ Pavlovich 4 Lester, June A. 4 Li, Haizhong 4 Lions, Pierre-Louis 4 McCann, Robert J. 4 McMullen, Peter 4 Mira, Pablo 4 Oliker, Vladimir I. 4 Park, Choonkil 4 Poggesi, Giorgio 4 Pyo, Juncheol 4 Rassias, Themistocles Michael 4 Rouyer, Joël 4 Shefel, S. Z. 4 Sirakov, Boyan Slavchev 4 Smirnov, Sergeĭ Nikolaevich 4 Sultan, Alan 4 Trudinger, Neil Sidney 4 Urbas, John Ivan Eugene 4 Ye, Deping 4 Zhang, Gaoyong 4 Zhu, Guangxian 3 Bandle, Catherine 3 Banerjee, Amar Kumar 3 Bogachev, Vladimir Igorevich 3 Butscher, Adrian 3 Cabré, Xavier 3 Caroccia, Marco 3 Chen, Hongbin 3 Chen, Li 3 Chen, Li 3 Chen, Zhengmao 3 Chentsov, Aleksandr Georgievich 3 Colesanti, Andrea 3 Fall, Mouhamed Moustapha 3 de Lima, Henrique F. 3 Fogagnolo, Mattia 3 Ghomi, Mohammad 3 Hsiang, Wu-Teh 3 Hua, Bobo 3 Kamynin, Leonid Ivanovich 3 Karcher, Hermann ...and 1,071 more Authors all top 5 Cited in 267 Serials 59 Siberian Mathematical Journal 39 Proceedings of the American Mathematical Society 39 Transactions of the American Mathematical Society 38 Advances in Mathematics 35 Journal of Mathematical Analysis and Applications 26 Calculus of Variations and Partial Differential Equations 25 Journal of Mathematical Sciences (New York) 22 Geometriae Dedicata 22 Journal of Differential Equations 21 Mathematical Notes 21 Mathematische Annalen 19 Annali di Matematica Pura ed Applicata. 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Zeitschrift für angewandte Mathematik und Physik 2 Arkiv för Matematik 2 The Mathematical Intelligencer 2 Beiträge zur Algebra und Geometrie 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Bulletin de la Société Mathématique de France 2 Canadian Mathematical Bulletin 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Rendiconti del Seminario Matemàtico e Fisico di Milano ...and 167 more Serials all top 5 Cited in 57 Fields 369 Differential geometry (53-XX) 288 Partial differential equations (35-XX) 234 Convex and discrete geometry (52-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 78 Geometry (51-XX) 71 Measure and integration (28-XX) 66 Functional analysis (46-XX) 62 General topology (54-XX) 50 Global analysis, analysis on manifolds (58-XX) 43 Manifolds and cell complexes (57-XX) 30 Real functions (26-XX) 25 Operator theory (47-XX) 25 Probability theory and stochastic processes (60-XX) 24 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 24 Relativity and gravitational theory (83-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Potential theory (31-XX) 19 Fluid mechanics (76-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Ordinary differential equations (34-XX) 16 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Computer science (68-XX) 13 Functions of a complex variable (30-XX) 13 Integral equations (45-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 11 Mechanics of deformable solids (74-XX) 10 History and biography (01-XX) 10 Algebraic geometry (14-XX) 10 Operations research, mathematical programming (90-XX) 9 General and overarching topics; collections (00-XX) 9 Difference and functional equations (39-XX) 9 Quantum theory (81-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Mathematical logic and foundations (03-XX) 6 Abstract harmonic analysis (43-XX) 6 Systems theory; control (93-XX) 4 Nonassociative rings and algebras (17-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Category theory; homological algebra (18-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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