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On the History of the Affine Surface Area for Convex Bodies

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References

  • Aleksandrov, A. D., Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it (Russian), Uchenye Zapiski Leningrad Gos. Univ. Math. Ser. 6 (1939) 3–35

    Google Scholar 

  • Bangert, V., Analytische Eigenschaften konvexer Mengen auf Riemannschen Mannigfaltigkeiten, J. Reine Angew. Math. 307 (1979) 309–327

    MathSciNet  Google Scholar 

  • Behrend, F., Über einige Affininvarianten konvexer Bereiche, Math. Ann. 113 (1937) 713–747

    Article  MathSciNet  MATH  Google Scholar 

  • Blaschke, W., Vorlesungen über Differentialgeometrie II, Springer, Berlin, 1923

    MATH  Google Scholar 

  • Leichtweiss, K., Über eine Formel Blaschkes zur Affinoberfläche, Stud. Sci. Math. Hungarica 21 (1986) 453–474

    MathSciNet  MATH  Google Scholar 

  • Leichtweiss, K., Zur Affinoberfläche konvexer Körper, Manusc. Math. 56 (1986) 429–464

    MathSciNet  MATH  Google Scholar 

  • Leichtweiss, K., Bemerkungen zur Definition einer erweiterten Affinoberfläche von E. Lutwak, Manuscr. Math. 65 (1989) 181–197

    Article  MathSciNet  MATH  Google Scholar 

  • Lutwak, E., Extended affine surface area, Adv. Math. 85 (1991) 39–68

    Article  MathSciNet  MATH  Google Scholar 

  • Petty, C, Geominimal surface area, Geom. Dedic. 3 (1974) 77–97

    Article  MathSciNet  MATH  Google Scholar 

  • Schütt, C, and E. Werner, The convex floating body, Math. Scand. 66 (1990) 275–290

    MathSciNet  MATH  Google Scholar 

  • Schütt, C, On the affine surface area, preprint Kiel 1990

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Leichtweiß, K. On the History of the Affine Surface Area for Convex Bodies. Results. Math. 20, 650–656 (1991). https://doi.org/10.1007/BF03323201

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