Edit Profile (opens in new tab) Petty, Clinton M. (b. 1923 d. 2021) Co-Author Distance Author ID: petty.clinton-m Published as: Petty, C. M.; Petty, Clinton M. Further Spellings: Petty, Clinton Myers External Links: MGP · Wikidata · ResearchGate · Twitter Documents Indexed: 23 Publications since 1955 1 Further Contribution Co-Authors: 9 Co-Authors with 10 Joint Publications 145 Co-Co-Authors all top 5 Co-Authors 13 single-authored 2 Aitchison, Peter W. 2 Johnson, W. E. 2 Rogers, Claude Ambrose 1 Alfsen, Erik M. 1 Barry, J. E. 1 Beauzamy, Bernard 1 Bessaga, Czeslaw 1 Breakwell, John V. 1 Burton, Geoffrey R. 1 Busemann, Herbert 1 Choquet, Gustave 1 Crotty, Janice M. 1 Davis, William Jay 1 Day, Mahlon Marsh 1 Erdős, Pál 1 Ewald, Günter 1 Figiel, Tadeusz 1 Fourneau, Rene 1 Garling, D. J. H. 1 Grünbaum, Branko 1 Guy, Richard Kenneth 1 Haydon, Richard G. 1 James, Robert C. 1 Klee, Victor LaRue 1 Larman, David G. 1 Leitmann, George 1 Lindenstrauss, Joram 1 Mani-Levitska, Peter 1 McKinney, James R. 1 Pełczyński, Aleksander 1 Phelps, Robert Ralph 1 Rosenthal, Haskell P. 1 Tzafriri, Lior 1 Wright, John David Maitland all top 5 Serials 2 Canadian Journal of Mathematics 2 Geometriae Dedicata 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Journal of the Franklin Institute 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Mathematica Scandinavica 1 Mathematika 1 Portugaliae Mathematica 1 SIAM Journal on Mathematical Analysis 1 Rivista di Matematica della Università di Parma Fields 11 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 525 times in 427 Documents Cited by ▼ Year ▼ Isoperimetric problems. Zbl 0245.52007 Petty, C. M. 83 1971 Problems on convex bodies. Zbl 0070.39301 Busemann, H.; Petty, C. M. 82 1956 Centroid surfaces. Zbl 0103.15604 Petty, C. M. 80 1961 Geominimal surface area. Zbl 0285.52006 Petty, C. M. 57 1974 Affine isoperimetric problems. Zbl 0576.52003 Petty, C. M. 47 1985 Equilateral sets in Minkowski spaces. Zbl 0214.20801 Petty, C. M. 41 1971 Projection bodies. Zbl 0152.20601 Petty, C. M. 32 1967 Surface area of a convex body under affine transformations. Zbl 0101.40304 Petty, C. M. 31 1961 On the geometry of the Minkowski plane. Zbl 0067.40102 Petty, C. M. 22 1955 A geometrical approach to the second-order linear differential equation. Zbl 0105.06801 Petty, C. M.; Barry, J. E. 12 1962 Properties of solutions of \(u''+c(t)f(u)h(u')=0\) with explicit initial conditions. Zbl 0256.34002 Petty, C. M.; Johnson, W. E. 9 1973 Ellipsoids. Zbl 0518.52003 Petty, Clinton M. 8 1983 A convex body with a false centre is an ellipsoid. Zbl 0224.52003 Aitchison, P. W.; Petty, C. M.; Rogers, C. A. 8 1971 Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001 7 1976 Satellite orbits about a planet with rotational symmetry. Zbl 0141.23101 Petty, C. M.; Breakwell, J. V. 6 1960 Convex bodies with circumscribing boxes of constant volume. Zbl 0655.52006 Petty, C. M.; McKinney, James R. 3 1987 Characterizations of spherical neighborhoods. Zbl 0195.12603 Petty, C. M.; Crotty, J. M. 2 1970 An extremal theorem for \(N\)-simplexes. Zbl 0066.14401 Petty, C. M.; Waterman, D. 1 1955 A boundedness theorem for a nonlinear, nonautonomous system. Zbl 0122.09305 Petty, C. M.; Leitmann, G. 1 1964 Convex bodies with circumscribing boxes of constant volume. Zbl 0655.52006 Petty, C. M.; McKinney, James R. 3 1987 Affine isoperimetric problems. Zbl 0576.52003 Petty, C. M. 47 1985 Ellipsoids. Zbl 0518.52003 Petty, Clinton M. 8 1983 Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001 7 1976 Geominimal surface area. Zbl 0285.52006 Petty, C. M. 57 1974 Properties of solutions of \(u''+c(t)f(u)h(u')=0\) with explicit initial conditions. Zbl 0256.34002 Petty, C. M.; Johnson, W. E. 9 1973 Isoperimetric problems. Zbl 0245.52007 Petty, C. M. 83 1971 Equilateral sets in Minkowski spaces. Zbl 0214.20801 Petty, C. M. 41 1971 A convex body with a false centre is an ellipsoid. Zbl 0224.52003 Aitchison, P. W.; Petty, C. M.; Rogers, C. A. 8 1971 Characterizations of spherical neighborhoods. Zbl 0195.12603 Petty, C. M.; Crotty, J. M. 2 1970 Projection bodies. Zbl 0152.20601 Petty, C. M. 32 1967 A boundedness theorem for a nonlinear, nonautonomous system. Zbl 0122.09305 Petty, C. M.; Leitmann, G. 1 1964 A geometrical approach to the second-order linear differential equation. Zbl 0105.06801 Petty, C. M.; Barry, J. E. 12 1962 Centroid surfaces. Zbl 0103.15604 Petty, C. M. 80 1961 Surface area of a convex body under affine transformations. Zbl 0101.40304 Petty, C. M. 31 1961 Satellite orbits about a planet with rotational symmetry. Zbl 0141.23101 Petty, C. M.; Breakwell, J. V. 6 1960 Problems on convex bodies. Zbl 0070.39301 Busemann, H.; Petty, C. M. 82 1956 On the geometry of the Minkowski plane. Zbl 0067.40102 Petty, C. M. 22 1955 An extremal theorem for \(N\)-simplexes. Zbl 0066.14401 Petty, C. M.; Waterman, D. 1 1955 all cited Publications top 5 cited Publications all top 5 Cited by 349 Authors 21 Martini, Horst 20 Koldobsky, Alexander L. 19 Wang, Weidong 15 Lutwak, Erwin 13 Zhou, Jiazu 13 Zhu, Baocheng 12 Zvavitch, Artem 11 Leng, Gangsong 11 Xiong, Ge 10 Li, Aijun 9 Balestro, Vitor 9 Fang, Niufa 9 Schuster, Franz E. 9 Ye, Deping 8 Böröczky, Karoly jun. 8 Feng, Yibin 8 Huang, Qingzhong 8 Lv, Songjun 8 Swanepoel, Konrad J. 8 Zhang, Gaoyong 7 Alonso-Gutiérrez, David 7 Jiménez, Carlos Hugo 6 Hug, Daniel 6 Ivaki, Mohammad N. 6 Ludwig, Monika 6 Meyer, Mathieu 6 Villa, Rafael 5 Giannopoulos, Apostolos A. 5 González Merino, Bernardo 5 Ma, Tongyi 5 Ryabogin, Dmitry 5 Saroglou, Christos 5 Teixeira, Ralph Costa 5 Wu, Denghui 5 Xi, Dongmeng 5 Zhang, Zengle 5 Zou, Du 4 Campi, Stefano 4 Dann, Susanna 4 Gronchi, Paolo 4 Gruber, Peter Manfred 4 Haddad, Julián E. 4 He, Binwu 4 Kaiser, Mark J. 4 Makeev, Vladimir Vladimirovich 4 Milman, Emanuel 4 Montenegro, Marcos 4 Morales-Amaya, Efrén 4 Rubin, Boris 4 Schneider, Rolf G. 4 Xu, Wenxue 4 Zhou, Yanping 4 Zymonopoulou, Marisa 3 Artstein-Avidan, Shiri 3 Bernués, Julio 3 Brazitikos, Silouanos 3 Deprit, André 3 Fradelizi, Matthieu 3 Gardner, Richard J. 3 Goodey, Paul R. 3 Guo, Lujun 3 Horváth, Ákos G. 3 Hu, Jiaqi 3 Jerónimo-Castro, Jesús 3 Klain, Daniel A. 3 Lángi, Zsolt 3 Li, Ni 3 Milman, Vitali D. 3 Mou, Shuang 3 Mustafaev, Zokhrab 3 Nazarov, Fedor L. 3 Nguyễn Văn Hoàng 3 Wang, Wei 3 Weil, Wolfgang 3 Werner, Elisabeth M. 3 Wu, Senlin 3 Xing, Sudan 3 Yang, Deane 2 Ball, Keith Martin 2 Barthe, Franck 2 Bastero, Jesús 2 Bezdek, Károly 2 Bisztriczky, Tibor 2 Brandolini, Barbara 2 Bu, Zhenhui 2 Chen, Fangwei 2 Craizer, Marcos 2 Florentin, Dan Itzhak 2 Fodor, Ferenc 2 From, Steven G. 2 Golubyatnikov, Vladimir Petrovich 2 González-García, Iván 2 Graef, John R. 2 Grinberg, Eric Liviu 2 Guerrero-Zarazua, Zamantha 2 Guggenheimer, Heinrich Walter 2 Haberl, Christoph 2 Heil, Erhard 2 Klartag, Bo’az 2 Kupavskii, Andrey ...and 249 more Authors all top 5 Cited in 113 Serials 48 Advances in Mathematics 30 Journal of Mathematical Analysis and Applications 19 Mathematika 19 Transactions of the American Mathematical Society 19 Advances in Applied Mathematics 17 The Journal of Geometric Analysis 14 Geometriae Dedicata 12 Journal of Functional Analysis 11 Israel Journal of Mathematics 11 Archiv der Mathematik 10 Discrete & Computational Geometry 9 Proceedings of the American Mathematical Society 8 Journal of Inequalities and Applications 7 Monatshefte für Mathematik 6 Mathematische Annalen 5 Beiträge zur Algebra und Geometrie 5 Results in Mathematics 5 Aequationes Mathematicae 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 Acta Mathematica Sinica. English Series 4 Periodica Mathematica Hungarica 4 Mathematische Zeitschrift 4 Quaestiones Mathematicae 4 Celestial Mechanics 4 Journal of Mathematical Sciences (New York) 4 Mathematical Inequalities & Applications 4 Science China. Mathematics 4 Journal of Function Spaces 3 Discrete Mathematics 3 Bulletin of the London Mathematical Society 3 Duke Mathematical Journal 3 Glasgow Mathematical Journal 3 Mathematische Nachrichten 3 European Journal of Combinatorics 3 Acta Mathematica Hungarica 3 Expositiones Mathematicae 3 Positivity 3 Journal of Mathematical Inequalities 3 Open Mathematics 2 Computers & Mathematics with Applications 2 Rocky Mountain Journal of Mathematics 2 The Mathematical Intelligencer 2 American Journal of Mathematics 2 Annales Polonici Mathematici 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Siberian Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Science in China. Series A 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Calculus of Variations and Partial Differential Equations 2 Journal of Convex Analysis 2 Journal of Nonlinear Science and Applications 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Gaṇita 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematical Systems Theory 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Topology and its Applications 1 Insurance Mathematics & Economics 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Georgian Mathematical Journal 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series ...and 13 more Serials all top 5 Cited in 42 Fields 368 Convex and discrete geometry (52-XX) 59 Differential geometry (53-XX) 58 Functional analysis (46-XX) 29 Geometry (51-XX) 28 Real functions (26-XX) 13 Probability theory and stochastic processes (60-XX) 12 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 9 Integral transforms, operational calculus (44-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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