Edit Profile (opens in new tab) Gruber, Peter Manfred (b. 1941 d. 2017) Co-Author Distance Author ID: gruber.peter-manfred Published as: Gruber, Peter M.; Gruber, P. M.; Gruber, Peter; Gruber, P.; Gruber, Peter Manfred more...less Homepage: https://dmg.tuwien.ac.at/gruber/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 114 Publications since 1967, including 4 Books 10 Contributions as Editor · 1 Further Contribution Reviewing Activity: 124 Reviews Biographic References: 1 Publication Co-Authors: 38 Co-Authors with 34 Joint Publications 1,297 Co-Co-Authors all top 5 Co-Authors 90 single-authored 4 Hlawka, Edmund 3 Aliev, Iskander M. 3 Schmidt, Wolfgang M. 3 Wills, Jörg M. 2 Lekkerkerker, Cornelis Gerrit 2 Lettl, Günter Hermann Alexander 2 Schmetterer, Leopold 2 Tichy, Robert Franz 1 Aigner, Martin 1 Balasubramanian, Ramachandran 1 Ball, Keith Martin 1 Bayoumi, Mohamed M. 1 Bianchi, Gabriele 1 Dani, Shrikrishna Gopalrao 1 Drmota, Michael 1 Erdős, Pál 1 Flor, Peter 1 Glasauer, Stefan 1 Goodey, Paul R. 1 Hammer, Joseph 1 Hans-Gill, Rajinder J. 1 Helmberg, Gilbert 1 Höbinger, Johannes 1 Kenderov, Petar Stojanov 1 Ludwig, Monika 1 Menger, Karl 1 Nöbauer, Wilfried 1 Ódor, Tibor 1 Radon, Johann 1 Ramharter, Gerhard 1 Reich, Ludwig 1 Ryshkov, Sergeĭ Sergeevich 1 Schneider, Rolf G. 1 Schoißengeier, Johannes 1 Schuster, Franz E. 1 Schweizer, Berthold 1 Sigmund, Karl 1 Sklar, Abe 1 Sorger, Hartwig 1 Theis, Fabian Joachim 1 Winkler, Reinhard 1 Zamfirescu, Tudor I. all top 5 Serials 6 Archiv der Mathematik 6 Monatshefte für Mathematik 5 Mathematische Annalen 5 Discrete & Computational Geometry 5 Forum Mathematicum 4 Geometriae Dedicata 4 Journal für die Reine und Angewandte Mathematik 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 2 Acta Arithmetica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Number Theory 2 Mathematika 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Studia Scientiarum Mathematicarum Hungarica 2 Internationale Mathematische Nachrichten 2 Rendiconti del Seminario Matematico di Messina. Serie II 2 Advances in Geometry 2 Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II 2 Proceedings of the Steklov Institute of Mathematics 2 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Israel Journal of Mathematics 1 Mathematische Semesterberichte 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Intelligencer 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 IEEE Transactions on Automatic Control 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 European Journal of Combinatorics 1 Potsdamer Forschungen. Wissenschaftliche Schriftenreihe der Pädagogischen Hochschule ”Karl Liebknecht” Potsdam. Reihe B. Naturwissenschaftliche Reihe 1 Aequationes Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Doklady Bolgarskoĭ Akademii Nauk 1 Elemente der Mathematik 1 Expositiones Mathematicae 1 Oberwolfach Reports 1 Bollettino della Unione Matematica Italiana. Series IV 1 Contributions to Discrete Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 North-Holland Mathematical Library 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Ramanujan Mathematical Society Lecture Notes Series 1 Springer Collected Works in Mathematics all top 5 Fields 102 Convex and discrete geometry (52-XX) 35 Number theory (11-XX) 17 Differential geometry (53-XX) 9 Approximations and expansions (41-XX) 9 Functional analysis (46-XX) 8 History and biography (01-XX) 8 Combinatorics (05-XX) 8 General topology (54-XX) 7 General and overarching topics; collections (00-XX) 6 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,513 times in 1,119 Documents Cited by ▼ Year ▼ Convex and discrete geometry. Zbl 1139.52001Gruber, Peter M. 327 2007 Geometry of numbers. 2nd ed. Zbl 0611.10017Gruber, P. M.; Lekkerkerker, C. G. 237 1987 Stability of isometries. Zbl 0393.41020Gruber, Peter M. 81 1978 Aspects of approximation of convex bodies. Zbl 0791.52007Gruber, Peter M. 70 1993 Optimum quantization and its applications. Zbl 1062.94012Gruber, Peter M. 40 2004 An arithmetic proof of John’s ellipsoid theorem. Zbl 1086.52002Gruber, Peter M.; Schuster, Franz E. 35 2005 Asymptotic estimates for best and stepwise approximation of convex bodies. II. Zbl 0788.41020Gruber, Peter M. 34 1993 Handbook of convex geometry. Volume A. Zbl 0777.52001 32 1993 Baire categories in convexity. Zbl 0791.52002Gruber, Peter M. 30 1993 Lattice points. Zbl 0683.10025Erdős, Paul; Gruber, P. M.; Hammer, J. 27 1989 Asymptotic estimates for best and stepwise approximation of convex bodies. III. Zbl 0889.52006Glasauer, Stefan; Gruber, Peter M. 22 1997 Minimal ellipsoids and their duals. Zbl 0673.52002Gruber, Peter M. 21 1988 Handbook of convex geometry. Volume B. Zbl 0777.52002 20 1993 Asymptotic estimates for best and stepwise approximation of convex bodies. I. Zbl 0780.52005Gruber, Peter M. 19 1993 John and Loewner ellipsoids. Zbl 1241.52002Gruber, Peter M. 19 2011 Comparisons of best and random approximation of convex bodies by polytopes. Zbl 0896.52014Gruber, Peter M. 19 1997 Volume approximation of convex bodies by inscribed polytopes. Zbl 0628.52006Gruber, Peter M. 15 1988 Dimension and structure of typical compact sets, continua and curves. Zbl 0666.28005Gruber, P. M. 15 1989 In most cases approximation is irregular. Zbl 0562.41030Gruber, Peter M. 15 1983 Approximation of convex bodies. Zbl 0519.52005Gruber, Peter M. 15 1983 An optimal lower bound for the Frobenius problem. Zbl 1114.11025Aliev, Iskander M.; Gruber, Peter M. 14 2007 The endomorphisms of the lattice of norms in finite dimensions. Zbl 0779.52006Gruber, P. M. 14 1992 Application of an idea of Voronoĭ to John type problems. Zbl 1144.52003Gruber, Peter M. 14 2008 Approximation of convex bodies by polytopes. Zbl 0494.52003Gruber, Peter M.; Kenderov, Petar 14 1982 Die meisten konvexen Körper sind glatt, aber nicht zu glatt. Zbl 0342.52009Gruber, Peter M. 13 1977 Approximation of convex bodies by polytopes. Zbl 0474.52007Gruber, P. M. 13 1981 The space of convex bodies. Zbl 0791.52004Gruber, Peter M. 12 1993 The endomorphisms of the lattice of convex bodies. Zbl 0754.52006Gruber, P. M. 11 1991 Only ellipsoids have caustics. Zbl 0847.34052Gruber, Peter M. 11 1995 Isometries of the space of convex bodies in Euclidean space. Zbl 0447.52004Gruber, Peter M.; Lettl, Günter 11 1980 Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen. Zbl 0318.47031Gruber, Peter M. 11 1975 Characterizations of ellipsoids. Zbl 0595.52004Bianchi, Gabriele; Gruber, Peter M. 10 1987 Application of an idea of Voronoĭ to lattice zeta functions. Zbl 1297.11113Gruber, Peter M. 10 2012 Volume approximation of convex bodies by circumscribed polytopes. Zbl 0739.52004Gruber, Peter M. 9 1991 Approximation by convex polytopes. Zbl 0824.52007Gruber, P. M. 9 1994 Convexity and its applications. Zbl 0512.00020 9 1983 Generic properties of compact starshaped sets. Zbl 0683.52008Gruber, Peter M.; Zamfirescu, Tudor I. 8 1990 A short analytic proof of Fejes Tóth’s theorem on sums of moments. Zbl 1006.52015Gruber, Peter M. 8 1999 Results of Baire category type in convexity. Zbl 0571.52007Gruber, Peter M. 8 1985 A typical convex surface contains no closed geodesic. Zbl 0718.52003Gruber, Peter M. 8 1991 Convex billiards. Zbl 0696.52001Gruber, Peter M. 8 1990 Geometry of the cone of positive quadratic forms. Zbl 1217.11039Gruber, Peter M. 8 2009 Problems in geometric convexity. Zbl 0433.52001Gruber, P. M.; Schneider, R. 8 1979 Error of asymptotic formulae for volume approximation of convex bodies in \({\mathbb E}^d\). Zbl 1006.52002Gruber, Peter M. 7 2002 Zur Charakterisierung konvexer Körper. Über einen Satz von Rogers und Shephard. II. Zbl 0175.49101Gruber, P. 6 1970 Über kennzeichnende Eigenschaften von euklidischen Räumen. und Ellipsoiden. I. Zbl 0273.52001Gruber, Peter 6 1974 Expectation of random polytopes. Zbl 0873.52006Gruber, Peter M. 6 1996 Optimal configurations of finite sets in Riemannian 2-manifolds. Zbl 0982.52020Gruber, Peter M. 6 2001 Isometries of the space of convex bodies of \(E^4\). Zbl 0403.52002Gruber, Peter M. 6 1979 Über kennzeichnende Eigenschaften von euklidischen Räumen und Ellipsoiden. II. Zbl 0291.52004Gruber, Peter 5 1974 Über kennzeichnende Eigenschaften von Ellipsoiden und euklidischen Räumen. III. Zbl 0291.52005Gruber, P. 5 1974 Eine Erweiterung des Blichfeldtschen Satzes mit einer Anwendung auf inhomogene Linearformen. Zbl 0171.01003Gruber, P. 5 1967 Uniqueness of lattice packings and coverings of extreme density. Zbl 1230.52030Gruber, Peter M. 5 2011 A Helmholtz-Lie type characterization of ellipsoids. II. Zbl 0864.52005Gruber, P. M.; Ludwig, M. 5 1996 Geometry of numbers. Zbl 0788.11022Gruber, Peter M. 5 1993 Ellipsoids are the most symmetric convex bodies. Zbl 0942.52001Gruber, Peter M.; Ódor, Tibor 5 1999 Typical convex bodies have surprisingly few neighbours in densest lattice packings. Zbl 0545.52008Gruber, Peter M. 5 1986 Kontrahierende Radialprojektionen in normierten Räumen. Zbl 0338.47029Gruber, Peter 5 1975 Kennzeichnungen von Ellipsoiden mit Anwendungen. Zbl 0325.52006Gruber, Peter M.; Höbinger, Johannes 5 1976 Isometries of the space of compact subsets of \(E^ n\). Zbl 0484.52011Gruber, Peter M.; Lettl, Guenter 5 1979 Voronoĭ type criteria for lattice coverings with balls. Zbl 1238.05051Gruber, Peter M. 4 2011 Über die Durchschnitte von translationsgleichen Polyedern. Zbl 0195.51701Gruber, Peter 4 1970 In many cases optimal configurations are almost regular hexagonal. Zbl 1017.11032Gruber, Peter M. 4 2000 Planar Chebyshev sets. Zbl 0591.52003Gruber, P. M. 4 1984 Zur Charakterisierung konvexer Körper: Über einen Satz von Rogers und Shephard. Zbl 0159.51702Gruber, P. 4 1969 Eine Bemerkung über DOTU-Matrizen. Zbl 0331.10016Gruber, Peter 4 1976 Suboptimal control strategies for multilocomotive powered trains. Zbl 0478.93010Gruber, Peter; Bayoumi, Mohamed M. 4 1982 Über einen Satz von Remak in der Geometrie der Zahlen. Zbl 0207.35601Gruber, Peter 3 1970 Bemerkungen zum Umkehrproblem für den Minkowskischen Linearformensatz. Zbl 0213.05902Gruber, P. 3 1971 Stability of Blaschke’s characterization of ellipsoids and Radon norms. Zbl 0887.52002Gruber, P. M. 3 1997 History of convexity. Zbl 0791.52001Gruber, Peter M. 3 1993 Optimal quantization. (Optimale Quantisierung.) Zbl 1032.52001Gruber, Peter M. 3 2002 Optimal arrangement of finite point sets in Riemannian 2-manifolds. Zbl 0982.52021Gruber, P. M. 3 1999 Asymptotic estimates for best and stepwise approximation of convex bodies. IV. Zbl 0927.52009Gruber, Peter M. 3 1998 Lattice points in large Borel sets and successive minima. Zbl 1215.11066Aliev, Iskander; Gruber, Peter M. 3 2006 Lattice packing and covering of convex bodies. Zbl 1301.52033Gruber, Peter M. 3 2011 Application of an idea of Voronoĭ to lattice packing. Zbl 1297.05047Gruber, Peter M. 3 2014 Beiträge zum Umkehrproblem für den Minkowskischen Linearformensatz. Zbl 0488.10028Gruber, P. M.; Ramharter, G. 3 1982 A Helmholtz-Lie type characterization of ellipsoids. I. Zbl 0824.52006Gruber, P. M. 2 1995 On the history of convex geometry and the geometry of numbers. (Zur Geschichte der Konvexgeometrie und der Geometrie der Zahlen.) Zbl 0864.11004Gruber, Peter Manfred 2 1990 Isometries of spaces of compact or compact convex subsets of metric manifolds. Zbl 0449.52001Gruber, P. M.; Tichy, R. 2 1982 Facet-to-facet implies face-to-face. Zbl 0664.52011Gruber, Peter M.; Ryshkov, Sergej S. 2 1989 Isometries of the space of convex bodies contained in a Euclidean ball. Zbl 0502.52006Gruber, Peter M. 2 1982 Aspects of convexity and its applications. Zbl 0525.52001Gruber, Peter M. 2 1984 The space of compact subsets of \(E^d\). Zbl 0432.54008Gruber, Peter M. 2 1980 Normal bundles of convex bodies. Zbl 1296.52003Gruber, Peter M. 2 2014 Geodesics on typical convex surfaces. Zbl 0741.52006Gruber, Peter Manfred 1 1988 Über eine Kennzeichnung der Simplices des \(R^ n\). Zbl 0215.50701Gruber, P. 1 1971 Error of asymptotic formulae for volume approximation of convex bodies in \(E^3\). Zbl 1068.52007Gruber, P. M. 1 2002 Collected works. Volumes 1, 2. Ed. by Peter Manfred Gruber, Edmund Hlawka, Wilfried Nöbauer, Leopold Schmetterer. Zbl 0626.01038Radon, Johann 1 1987 Shadow boundaries of typical convex bodies. Measure properties. Zbl 0667.52002Gruber, Peter M.; Sorger, Hartwig 1 1989 On the product of inhomogeneous linear forms. (Über das Produkt inhomogener Linearformen.) Zbl 0153.07102Gruber, Peter 1 1967 Zur Gitterüberdeckung des \(R^ n\) durch Sternkörper. Zbl 0164.05305Gruber, P. 1 1968 Über den Durchschnitt einer abnehmenden Folge von Parallelepipeden. Zbl 0342.52012Gruber, Peter M. 1 1977 Best simultaneous Diophantine approximations under a constraint on the denominator. Zbl 1139.11031Aliev, Iskander; Gruber, Peter 1 2006 Isometrien des Konvexringes. Zbl 0462.52003Gruber, Peter M. 1 1980 Applications of an idea of Voronoĭ, a report. Zbl 1317.15023Gruber, Peter M. 1 2013 Application of an idea of Voronoĭ to lattice packing. Zbl 1297.05047Gruber, Peter M. 3 2014 Normal bundles of convex bodies. Zbl 1296.52003Gruber, Peter M. 2 2014 Applications of an idea of Voronoĭ, a report. Zbl 1317.15023Gruber, Peter M. 1 2013 Application of an idea of Voronoĭ to lattice zeta functions. Zbl 1297.11113Gruber, Peter M. 10 2012 John and Loewner ellipsoids. Zbl 1241.52002Gruber, Peter M. 19 2011 Uniqueness of lattice packings and coverings of extreme density. Zbl 1230.52030Gruber, Peter M. 5 2011 Voronoĭ type criteria for lattice coverings with balls. Zbl 1238.05051Gruber, Peter M. 4 2011 Lattice packing and covering of convex bodies. Zbl 1301.52033Gruber, Peter M. 3 2011 Geometry of the cone of positive quadratic forms. Zbl 1217.11039Gruber, Peter M. 8 2009 Application of an idea of Voronoĭ to John type problems. Zbl 1144.52003Gruber, Peter M. 14 2008 Convex and discrete geometry. Zbl 1139.52001Gruber, Peter M. 327 2007 An optimal lower bound for the Frobenius problem. Zbl 1114.11025Aliev, Iskander M.; Gruber, Peter M. 14 2007 Lattice points in large Borel sets and successive minima. Zbl 1215.11066Aliev, Iskander; Gruber, Peter M. 3 2006 Best simultaneous Diophantine approximations under a constraint on the denominator. Zbl 1139.11031Aliev, Iskander; Gruber, Peter 1 2006 An arithmetic proof of John’s ellipsoid theorem. Zbl 1086.52002Gruber, Peter M.; Schuster, Franz E. 35 2005 Optimum quantization and its applications. Zbl 1062.94012Gruber, Peter M. 40 2004 Error of asymptotic formulae for volume approximation of convex bodies in \({\mathbb E}^d\). Zbl 1006.52002Gruber, Peter M. 7 2002 Optimal quantization. (Optimale Quantisierung.) Zbl 1032.52001Gruber, Peter M. 3 2002 Error of asymptotic formulae for volume approximation of convex bodies in \(E^3\). Zbl 1068.52007Gruber, P. M. 1 2002 Optimal configurations of finite sets in Riemannian 2-manifolds. Zbl 0982.52020Gruber, Peter M. 6 2001 In many cases optimal configurations are almost regular hexagonal. Zbl 1017.11032Gruber, Peter M. 4 2000 A short analytic proof of Fejes Tóth’s theorem on sums of moments. Zbl 1006.52015Gruber, Peter M. 8 1999 Ellipsoids are the most symmetric convex bodies. Zbl 0942.52001Gruber, Peter M.; Ódor, Tibor 5 1999 Optimal arrangement of finite point sets in Riemannian 2-manifolds. Zbl 0982.52021Gruber, P. M. 3 1999 Asymptotic estimates for best and stepwise approximation of convex bodies. IV. Zbl 0927.52009Gruber, Peter M. 3 1998 Asymptotic estimates for best and stepwise approximation of convex bodies. III. Zbl 0889.52006Glasauer, Stefan; Gruber, Peter M. 22 1997 Comparisons of best and random approximation of convex bodies by polytopes. Zbl 0896.52014Gruber, Peter M. 19 1997 Stability of Blaschke’s characterization of ellipsoids and Radon norms. Zbl 0887.52002Gruber, P. M. 3 1997 Expectation of random polytopes. Zbl 0873.52006Gruber, Peter M. 6 1996 A Helmholtz-Lie type characterization of ellipsoids. II. Zbl 0864.52005Gruber, P. M.; Ludwig, M. 5 1996 Only ellipsoids have caustics. Zbl 0847.34052Gruber, Peter M. 11 1995 A Helmholtz-Lie type characterization of ellipsoids. I. Zbl 0824.52006Gruber, P. M. 2 1995 Approximation by convex polytopes. Zbl 0824.52007Gruber, P. M. 9 1994 Aspects of approximation of convex bodies. Zbl 0791.52007Gruber, Peter M. 70 1993 Asymptotic estimates for best and stepwise approximation of convex bodies. II. Zbl 0788.41020Gruber, Peter M. 34 1993 Handbook of convex geometry. Volume A. Zbl 0777.52001 32 1993 Baire categories in convexity. Zbl 0791.52002Gruber, Peter M. 30 1993 Handbook of convex geometry. Volume B. Zbl 0777.52002 20 1993 Asymptotic estimates for best and stepwise approximation of convex bodies. I. Zbl 0780.52005Gruber, Peter M. 19 1993 The space of convex bodies. Zbl 0791.52004Gruber, Peter M. 12 1993 Geometry of numbers. Zbl 0788.11022Gruber, Peter M. 5 1993 History of convexity. Zbl 0791.52001Gruber, Peter M. 3 1993 The endomorphisms of the lattice of norms in finite dimensions. Zbl 0779.52006Gruber, P. M. 14 1992 The endomorphisms of the lattice of convex bodies. Zbl 0754.52006Gruber, P. M. 11 1991 Volume approximation of convex bodies by circumscribed polytopes. Zbl 0739.52004Gruber, Peter M. 9 1991 A typical convex surface contains no closed geodesic. Zbl 0718.52003Gruber, Peter M. 8 1991 Generic properties of compact starshaped sets. Zbl 0683.52008Gruber, Peter M.; Zamfirescu, Tudor I. 8 1990 Convex billiards. Zbl 0696.52001Gruber, Peter M. 8 1990 On the history of convex geometry and the geometry of numbers. (Zur Geschichte der Konvexgeometrie und der Geometrie der Zahlen.) Zbl 0864.11004Gruber, Peter Manfred 2 1990 Lattice points. Zbl 0683.10025Erdős, Paul; Gruber, P. M.; Hammer, J. 27 1989 Dimension and structure of typical compact sets, continua and curves. Zbl 0666.28005Gruber, P. M. 15 1989 Facet-to-facet implies face-to-face. Zbl 0664.52011Gruber, Peter M.; Ryshkov, Sergej S. 2 1989 Shadow boundaries of typical convex bodies. Measure properties. Zbl 0667.52002Gruber, Peter M.; Sorger, Hartwig 1 1989 Minimal ellipsoids and their duals. Zbl 0673.52002Gruber, Peter M. 21 1988 Volume approximation of convex bodies by inscribed polytopes. Zbl 0628.52006Gruber, Peter M. 15 1988 Geodesics on typical convex surfaces. Zbl 0741.52006Gruber, Peter Manfred 1 1988 Geometry of numbers. 2nd ed. Zbl 0611.10017Gruber, P. M.; Lekkerkerker, C. G. 237 1987 Characterizations of ellipsoids. Zbl 0595.52004Bianchi, Gabriele; Gruber, Peter M. 10 1987 Collected works. Volumes 1, 2. Ed. by Peter Manfred Gruber, Edmund Hlawka, Wilfried Nöbauer, Leopold Schmetterer. Zbl 0626.01038Radon, Johann 1 1987 Typical convex bodies have surprisingly few neighbours in densest lattice packings. Zbl 0545.52008Gruber, Peter M. 5 1986 Results of Baire category type in convexity. Zbl 0571.52007Gruber, Peter M. 8 1985 Planar Chebyshev sets. Zbl 0591.52003Gruber, P. M. 4 1984 Aspects of convexity and its applications. Zbl 0525.52001Gruber, Peter M. 2 1984 In most cases approximation is irregular. Zbl 0562.41030Gruber, Peter M. 15 1983 Approximation of convex bodies. Zbl 0519.52005Gruber, Peter M. 15 1983 Convexity and its applications. Zbl 0512.00020 9 1983 Approximation of convex bodies by polytopes. Zbl 0494.52003Gruber, Peter M.; Kenderov, Petar 14 1982 Suboptimal control strategies for multilocomotive powered trains. Zbl 0478.93010Gruber, Peter; Bayoumi, Mohamed M. 4 1982 Beiträge zum Umkehrproblem für den Minkowskischen Linearformensatz. Zbl 0488.10028Gruber, P. M.; Ramharter, G. 3 1982 Isometries of spaces of compact or compact convex subsets of metric manifolds. Zbl 0449.52001Gruber, P. M.; Tichy, R. 2 1982 Isometries of the space of convex bodies contained in a Euclidean ball. Zbl 0502.52006Gruber, Peter M. 2 1982 Approximation of convex bodies by polytopes. Zbl 0474.52007Gruber, P. M. 13 1981 Isometries of the space of convex bodies in Euclidean space. Zbl 0447.52004Gruber, Peter M.; Lettl, Günter 11 1980 The space of compact subsets of \(E^d\). Zbl 0432.54008Gruber, Peter M. 2 1980 Isometrien des Konvexringes. Zbl 0462.52003Gruber, Peter M. 1 1980 Problems in geometric convexity. Zbl 0433.52001Gruber, P. M.; Schneider, R. 8 1979 Isometries of the space of convex bodies of \(E^4\). Zbl 0403.52002Gruber, Peter M. 6 1979 Isometries of the space of compact subsets of \(E^ n\). Zbl 0484.52011Gruber, Peter M.; Lettl, Guenter 5 1979 Stability of isometries. Zbl 0393.41020Gruber, Peter M. 81 1978 Die meisten konvexen Körper sind glatt, aber nicht zu glatt. Zbl 0342.52009Gruber, Peter M. 13 1977 Über den Durchschnitt einer abnehmenden Folge von Parallelepipeden. Zbl 0342.52012Gruber, Peter M. 1 1977 Kennzeichnungen von Ellipsoiden mit Anwendungen. Zbl 0325.52006Gruber, Peter M.; Höbinger, Johannes 5 1976 Eine Bemerkung über DOTU-Matrizen. Zbl 0331.10016Gruber, Peter 4 1976 Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen. Zbl 0318.47031Gruber, Peter M. 11 1975 Kontrahierende Radialprojektionen in normierten Räumen. Zbl 0338.47029Gruber, Peter 5 1975 Über kennzeichnende Eigenschaften von euklidischen Räumen. und Ellipsoiden. I. Zbl 0273.52001Gruber, Peter 6 1974 Über kennzeichnende Eigenschaften von euklidischen Räumen und Ellipsoiden. II. Zbl 0291.52004Gruber, Peter 5 1974 Über kennzeichnende Eigenschaften von Ellipsoiden und euklidischen Räumen. III. Zbl 0291.52005Gruber, P. 5 1974 Bemerkungen zum Umkehrproblem für den Minkowskischen Linearformensatz. Zbl 0213.05902Gruber, P. 3 1971 Über eine Kennzeichnung der Simplices des \(R^ n\). Zbl 0215.50701Gruber, P. 1 1971 Zur Charakterisierung konvexer Körper. Über einen Satz von Rogers und Shephard. II. Zbl 0175.49101Gruber, P. 6 1970 Über die Durchschnitte von translationsgleichen Polyedern. Zbl 0195.51701Gruber, Peter 4 1970 Über einen Satz von Remak in der Geometrie der Zahlen. Zbl 0207.35601Gruber, Peter 3 1970 Zur Charakterisierung konvexer Körper: Über einen Satz von Rogers und Shephard. Zbl 0159.51702Gruber, P. 4 1969 Zur Gitterüberdeckung des \(R^ n\) durch Sternkörper. Zbl 0164.05305Gruber, P. 1 1968 Eine Erweiterung des Blichfeldtschen Satzes mit einer Anwendung auf inhomogene Linearformen. Zbl 0171.01003Gruber, P. 5 1967 On the product of inhomogeneous linear forms. (Über das Produkt inhomogener Linearformen.) Zbl 0153.07102Gruber, Peter 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,181 Authors 33 Gruber, Peter Manfred 32 Böröczky, Karoly jun. 29 Henk, Martin 20 Werner, Elisabeth M. 20 Xiong, Ge 15 Ludwig, Monika 14 Hug, Daniel 14 Zong, Chuanming 13 Averkov, Gennadiy 13 Zamfirescu, Tudor I. 11 Cheng, Lixin 11 Hernández Cifre, María A. 10 Fodor, Ferenc 10 Kim, Hark-Mahn 10 Rassias, John Michael 10 Reitzner, Matthias 10 Schütt, Carsten 9 Aliev, Iskander M. 9 Artstein-Avidan, Shiri 9 Fukshansky, Lenny 9 Leng, Gangsong 9 Schneider, Rolf G. 9 Schymura, Matthias 9 Vîlcu, Costin 8 Gardner, Richard J. 8 Martini, Horst 8 Wills, Jörg M. 8 Ye, Deping 8 Yepes Nicolás, Jesús 8 Zhou, Yu 8 Zhu, Sanguo 7 Jung, Soon-Mo 7 Lin, Youjiang 7 Lutwak, Erwin 7 Milman, Vitali D. 7 Raka, Madhu 7 Slomka, Boaz A. 6 Bétermin, Laurent 6 Brzdęk, Janusz 6 Gronchi, Paolo 6 Jun, Kil-Woung 6 Li, Aijun 6 Oertel, Timm 6 Sun, Longfa 6 Wang, Wei 6 Zhang, Gaoyong 6 Zou, Du 5 Bianchi, Gabriele 5 De Loera, Jesús A. 5 Gritzmann, Peter 5 Haberl, Christoph 5 Hans-Gill, Rajinder J. 5 Itoh, Jin-ichi 5 Kamenev, Georgy K. 5 Lángi, Zsolt 5 Linke, Eva 5 Merino, Bernardo González 5 Meyer, Mathieu 5 Molchanov, Ilya S. 5 Naszódi, Márton 5 Parapatits, Lukas 5 Ramharter, Gerhard 5 Reisner, Shlomo 5 Rotem, Liran 5 Rouyer, Joël 5 Santos, Francisco 5 Schürmann, Achill 5 Šír, Zbyněk 5 Ushakov, Vladimir Nikolaevich 5 Weismantel, Robert 5 Xiong, Jiawei 5 Xue, Fei 5 Yang, Deane 4 Badora, Roman 4 Betke, Ulrich 4 Bialy, Misha 4 Dai, Duanxu 4 El-Fassi, Iz-Iddine 4 German, Oleg N. 4 Gómez, Eugenia Saorín 4 Graf, Siegfried 4 He, Binwu 4 Horváth, Ákos G. 4 Jüttler, Bert 4 Kathuria, Leetika 4 Larman, David G. 4 Malikiosis, Romanos Diogenes 4 Morales-Amaya, Efrén 4 Müller, Josef S. 4 Nowak, Werner Georg 4 Park, Choonkil 4 Popa, Dorian 4 Roy, Damien 4 Schnell, Uwe 4 Si, Lin 4 Skubenko, Boris Fadeevich 4 Soberón, Pablo 4 Soltan, Valeriu 4 Tabachnikov, Serge L. 4 Vallentin, Frank ...and 1,081 more Authors all top 5 Cited in 291 Serials 58 Advances in Mathematics 56 Discrete & Computational Geometry 48 Journal of Mathematical Analysis and Applications 38 Monatshefte für Mathematik 26 Proceedings of the American Mathematical Society 23 Transactions of the American Mathematical Society 22 Advances in Applied Mathematics 18 Mathematika 17 Geometriae Dedicata 15 Discrete Mathematics 15 Journal of Approximation Theory 15 Journal of Functional Analysis 14 Israel Journal of Mathematics 13 Beiträge zur Algebra und Geometrie 13 Archiv der Mathematik 12 Mathematical Notes 12 Journal of Number Theory 12 Mathematische Annalen 12 Computational Geometry 12 The Journal of Geometric Analysis 11 Results in Mathematics 11 Advances in Geometry 10 Mathematische Zeitschrift 10 Acta Mathematica Sinica. English Series 10 Science China. Mathematics 9 Journal of Soviet Mathematics 9 European Journal of Combinatorics 9 Aequationes Mathematicae 9 Linear Algebra and its Applications 8 Mathematical Programming. Series A. Series B 8 Calculus of Variations and Partial Differential Equations 7 Discrete Applied Mathematics 7 Acta Mathematica Hungarica 7 Journal de Théorie des Nombres de Bordeaux 6 Indian Journal of Pure & Applied Mathematics 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Journal of Geometry 6 Topology and its Applications 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Journal of the European Mathematical Society (JEMS) 6 Communications in Contemporary Mathematics 5 Advances in Applied Probability 5 Periodica Mathematica Hungarica 5 The Annals of Probability 5 Journal of the London Mathematical Society. Second Series 5 Theoretical Computer Science 5 Computer Aided Geometric Design 5 Journal of Theoretical Probability 5 SIAM Journal on Discrete Mathematics 5 Computational Mathematics and Mathematical Physics 5 Expositiones Mathematicae 5 The Electronic Journal of Combinatorics 5 Journal of Convex Analysis 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Proceedings of the Steklov Institute of Mathematics 4 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 Information Processing Letters 4 Duke Mathematical Journal 4 Journal of Combinatorial Theory. Series A 4 Journal of Computer and System Sciences 4 Combinatorica 4 Journal of Complexity 4 Constructive Approximation 4 Revista Matemática Iberoamericana 4 Forum Mathematicum 4 Journal of Mathematical Sciences (New York) 4 Annals of Mathematics. Second Series 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications in Mathematics 3 Journal of Mathematical Physics 3 Nonlinearity 3 Studia Mathematica 3 The Mathematical Intelligencer 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Canadian Journal of Mathematics 3 Computing 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Quaestiones Mathematicae 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of Symbolic Computation 3 International Journal of Approximate Reasoning 3 International Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Indagationes Mathematicae. New Series 3 St. Petersburg Mathematical Journal 3 Finite Fields and their Applications 3 Bulletin des Sciences Mathématiques 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 The Journal of Fourier Analysis and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematics in Computer Science ...and 191 more Serials all top 5 Cited in 57 Fields 636 Convex and discrete geometry (52-XX) 221 Number theory (11-XX) 107 Functional analysis (46-XX) 76 Probability theory and stochastic processes (60-XX) 71 Differential geometry (53-XX) 62 Numerical analysis (65-XX) 59 Difference and functional equations (39-XX) 59 Operations research, mathematical programming (90-XX) 56 Computer science (68-XX) 50 Approximations and expansions (41-XX) 47 Measure and integration (28-XX) 44 Combinatorics (05-XX) 44 Real functions (26-XX) 33 General topology (54-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Geometry (51-XX) 30 Operator theory (47-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Algebraic geometry (14-XX) 24 Statistics (62-XX) 22 Partial differential equations (35-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Information and communication theory, circuits (94-XX) 14 Group theory and generalizations (20-XX) 13 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Topological groups, Lie groups (22-XX) 9 Ordinary differential equations (34-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 8 Systems theory; control (93-XX) 7 Mechanics of deformable solids (74-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Commutative algebra (13-XX) 4 Mathematical logic and foundations (03-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Optics, electromagnetic theory (78-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.