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Metric embedding techniques applied to geometric inequalities

Part of the Lecture Notes in Mathematics book series (LNM,volume 490)

Keywords

  • Real Plane
  • Geometric Inequality
  • Negative Semidefinite
  • Plane Convex Body
  • Extremal Configuration

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References

  1. L.M. Blumenthal, Theory and applications of distance geometry, Clarendon Press, Oxford, 1953.

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  2. G.D. Chakerian, A characterization of curves of constant width, Amer. Math. Monthly 81 (1974), 153–155.

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  3. H. Herda, A characterization of circles and other closed curves, Amer. Math. Monthly 81 (1974), 146–149.

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  4. G.T. Sallee, Stretching chords of space curves, Geometriae Dedicata 2 (1974), 311–317.

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  5. I.J. Schoenberg, Remarks to Maurice Fréchet's article “Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellment sur l'espace de Hilbert”, Ann. of Math. 36 (1935), 724–732. *** DIRECT SUPPORT *** A00J4126 00003

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Dedicated to Professor Leonard M. Blumenthal

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© 1975 Springer-Verlag

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Alexander, R. (1975). Metric embedding techniques applied to geometric inequalities. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081131

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  • DOI: https://doi.org/10.1007/BFb0081131

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07417-5

  • Online ISBN: 978-3-540-37946-1

  • eBook Packages: Springer Book Archive