Slicing of generalized surfaces with curvature measures and diameter's estimate

• Autorzy: Silvano Delladio
• Języki publikacji: EN

Abstrakty

EN

We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.

Słowa kluczowe

EN

generalized Gauss graphs   rectifiable currents   generalized curvatures   Meusnier theorem   Fenchel inequality   diameter estimate  

Kategorie tematyczne

• 49Q20: Variational problems in a geometric measure-theoretic setting
• 53C65: Integral geometry
• 28A75: Length, area, volume, other geometric measure theory
• 49Q15: Geometric measure and integration theory, integral and normal currents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 64
• Numer: 3
• Strony: 267-283

Daty

wydano

1996

otrzymano

1995-08-31

poprawiono

1995-12-20

Twórcy

autor

Silvano Delladio

• Dipartimento di Matemetica, Università di Trento, 38050 Povo (Trento), Italy

Bibliografia

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• [4] M. W. Hirsch, Differential Topology, Springer, Berlin, 1976.
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• [6] R. Osserman, Curvature in the eighties, Amer. Math. Monthly 97 (1990), 731-756.
• [7] L. Simon, Lectures on Geometric Measure Theory, Proc. Centre Math. Anal. Austral. Nat. Univ. 3, Canberra, 1983.
• [8] L. Simon, Existence of Willmore Surfaces, Proc. Centre Math. Anal. Austral. Nat. Univ. 10, Canberra, 1985.