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References

  1. B. Andrews, Contraction of convex hypersurfaces by their affine normal.J. Diff. Geom. 43 (1996), 207–230.

    MATH  Google Scholar 

  2. W. Blaschke,Vorlesungen über Differentialgeometrie II. Springer-Verlag Berlin, (1923).

    MATH  Google Scholar 

  3. G. Bol, Isoperimetrische Ungleichungen Für Bereiche auf Flächen.Jahresber. DMV 51 (1941), 219–257.

    MATH  MathSciNet  Google Scholar 

  4. B. Chow, Deforming convex hypersurfaces by then-th root of the Gaussian curvature.J. Diff. Geom. 22 (1985), 117–138.

    MATH  Google Scholar 

  5. M. Gage, Curve shortening makes convex curves circular.Invent. Math. 76 (1984), 357–364.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. Huisken, Flow by mean curvature of convex surfaces into spheres.J. Diff. Geom. 20 (1984), 237–266.

    MATH  MathSciNet  Google Scholar 

  7. B. Kimia, A. Tannenbaum andS. Zucker, Toward a computational theory of shape: An overview.Lect. Notes Comp. Sci. 427 (1990), 402–407.

    Article  Google Scholar 

  8. K. Leichtweiss, Über eine Formei Blaschkes zur Affinoberfläche.Studia Sci. Math. Hung. 21 (1986), 453–474.

    MathSciNet  Google Scholar 

  9. - - - , On inner parallel bodies in the equiaffine geometry.Analysis and Geometry (ed. by B. Fuchssteiner and W. A. J. Luxemburg), BI-Verlag Mannheim (1992), 113–123.

  10. -K. Leichtweiss, Convexity and Differential Geometry.Handbook of Convex Geometry B, Elsevier Sci. Publ. Amsterdam (1993), 1045–1080.

    Google Scholar 

  11. M. Meyer andS. Reisner, A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces.Geom. Dedic. 37 (1991), 327–337.

    Article  MATH  MathSciNet  Google Scholar 

  12. G. Sapiro andA. Tannenbaum, On affine plane curve evolution.J. Funct. Anal. 119 (1994), 79–120.

    Article  MATH  MathSciNet  Google Scholar 

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Leichtweiss, K. Remarks on affine evolutions. Abh.Math.Semin.Univ.Hambg. 66, 355–376 (1996). https://doi.org/10.1007/BF02940814

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