{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T12:11:14Z","timestamp":1684066274364},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1996,1,1]],"date-time":"1996-01-01T00:00:00Z","timestamp":820454400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[1996,1]]},"DOI":"10.1007\/bf02711133","type":"journal-article","created":{"date-parts":[[2007,10,11]],"date-time":"2007-10-11T13:43:25Z","timestamp":1192110205000},"page":"55-67","source":"Crossref","is-referenced-by-count":3,"title":["A Helmholtz-Lie type characterization of ellipsoids, II"],"prefix":"10.1007","volume":"16","author":[{"given":"P. M.","family":"Gruber","sequence":"first","affiliation":[]},{"given":"M.","family":"Ludwig","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02711133_CR1","doi-asserted-by":"crossref","first-page":"17","DOI":"10.4064\/sm-9-1-17-22","volume":"9","author":"H. Auerbach","year":"1940","unstructured":"Auerbach, H.: Sur une propri\u00e9t\u00e9 caracteristique de l'ellipsoide,Studia Math. 9 (1940), 17\u201322.","journal-title":"Studia Math."},{"key":"BF02711133_CR2","first-page":"18","volume":"70","author":"W. Blaschke","year":"1918","unstructured":"Blaschke, W.: \u00dcber affine Geometrie XII: von den Eifl\u00e4chen,Leipziger Ber. 70 (1918), 18\u201337;Gesammelte Werke, vol. 4, Thales-Verlag, Essen, 1985, pp. 157\u2013176.","journal-title":"Leipziger Ber."},{"key":"BF02711133_CR3","volume-title":"Vorlesungen \u00fcber Differentialgeometrie II","author":"W. Blaschke","year":"1923","unstructured":"Blaschke, W.:Vorlesungen \u00fcber Differentialgeometrie II, Springer-Verlag, Berlin, 1923."},{"key":"BF02711133_CR4","first-page":"52","volume":"53","author":"H. Busemann","year":"1967","unstructured":"Busemann, H.: Timelike spaces,Dissertationes Math. (Rozprawy Mat.) 53 (1967), 52.","journal-title":"Dissertationes Math. (Rozprawy Mat.)"},{"key":"BF02711133_CR5","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1007\/BF02574059","volume":"13","author":"P. M. Gruber","year":"1995","unstructured":"Gruber, P. M.: A Helmholtz-Lie type characterization of ellipsoids, I,Discrete Comput. Geom. 13 (1995), 517\u2013527.","journal-title":"Discrete Comput. Geom."},{"key":"BF02711133_CR6","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1007\/BF01168504","volume":"56","author":"K. Leichtweiss","year":"1986","unstructured":"Leichtweiss, K.: Zur Affinoberfl\u00e4che konvexer K\u00f6rper,Manuscripta Math. 56 (1986), 429\u2013464.","journal-title":"Manuscripta Math."},{"key":"BF02711133_CR7","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/BF03323245","volume":"13","author":"K. Leichtweiss","year":"1988","unstructured":"Leichtweiss, K.: \u00dcber einige Eigenschaften der Affinoberfl\u00e4che beliebiger konvexer K\u00f6rper,Resultate Math. 13 (1988), 255\u2013282.","journal-title":"Resultate Math."},{"key":"BF02711133_CR8","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF01456030","volume":"53","author":"H. Liebmann","year":"1900","unstructured":"Liebmann, H.: \u00dcber die Verbiegung der geschlossenen Fl\u00e4chen positiver Kr\u00fcmmung,Math. Ann. 53(1900), 81\u2013112.","journal-title":"Math. Ann."},{"key":"BF02711133_CR9","first-page":"109","volume":"35","author":"H. Liu","year":"1994","unstructured":"Liu, H., Wang, C.: Centroffinely homogeneous surfaces inR 3,Beitr. Geom. Algebra 35 (1994) 109\u2013117.","journal-title":"Beitr. Geom. Algebra"},{"key":"BF02711133_CR10","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/B978-0-444-89596-7.50010-9","volume-title":"Handbook of Convex Geometry","author":"E. Lutwak","year":"1993","unstructured":"Lutwak, E.: Selected affine isoperimetric inequalities, in:Handbook of Convex Geometry, vol. A, North-Holland, Amsterdam, 1993, pp. 151\u2013176."},{"key":"BF02711133_CR11","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF01263472","volume":"58","author":"H. M\u00e4urer","year":"1995","unstructured":"M\u00e4urer, H.: Parabolische Kollineationen, die eine ebene konvexe Menge invariant lassen,Geom. Dedicata 58 (1995), 15\u201320.","journal-title":"Geom. Dedicata"},{"key":"BF02711133_CR12","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF00181363","volume":"3","author":"C. Petty","year":"1974","unstructured":"Petty, C.: Geominimal surface area,Geom. Dedicata 3 (1974), 77\u201397.","journal-title":"Geom. Dedicata"},{"key":"BF02711133_CR13","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1111\/j.1749-6632.1985.tb14545.x","volume":"440","author":"C. Petty","year":"1985","unstructured":"Petty, C.: Affine isoperimetric problems,Ann. N.Y. Acad. Sci. 440 (1985), 113\u2013127.","journal-title":"Ann. N.Y. Acad. Sci."},{"key":"BF02711133_CR14","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511526282","volume-title":"Convex Bodies: the Brunn-Minkowski Theory","author":"R. Schneider","year":"1993","unstructured":"Schneider, R.:Convex Bodies: the Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 1993."},{"key":"BF02711133_CR15","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/BF00149361","volume":"11","author":"Z. I. Szab\u00f3","year":"1981","unstructured":"Szab\u00f3, Z. I.: Generalized spaces with many isometries,Geom. Dedicata 11 (1981), 369\u2013383.","journal-title":"Geom. Dedicata"},{"key":"BF02711133_CR16","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1515\/crll.1929.160.67","volume":"160","author":"H. Tietze","year":"1929","unstructured":"Tietze, H.: Bemerkungen \u00fcber konvexe und nicht-konvexe Figuren,J. Reine Angew. Math. 160 (1929), 67\u201369.","journal-title":"J. Reine Angew. Math."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02711133.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02711133\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02711133","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T11:40:29Z","timestamp":1684064429000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02711133"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,1]]}},"alternative-id":["BF02711133"],"URL":"https:\/\/doi.org\/10.1007\/bf02711133","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,1]]}}}