A Lower Estimate for the Modified Steiner Functional

Abstract

We prove inequality (1) for the modified Steiner functional A(M), which extends the notion of the integral of mean curvature for convex surfaces.We also establish an exression for A(M) in terms of an integral over all hyperplanes intersecting the polyhedralral surface M.

6 pages, Latex

References in corpus (1)

• Gonihedric String and Asymptotic Freedom

Cited by in corpus (11)

• Interaction Hierarchy
• GEOMETRICAL STRING and DUAL SPIN SYSTEMS
• Low temperature expansion of the gonihedric Ising model
• Dual Statistical Systems and Geometrical String
• Loop transfer matrix and gonihedric loop diffusion
• The spectrum of a transfer matrix for loops
• Gonihedric String Equation II
• The Gonihedric Paradigm Extensions of the Ising Model
• Quantum gravity with linear action. Intrinsic rigidity of spacetime
• Curvature representation of the gonihedric action
• The QCD string and the generalised wave equation