1994/01/12 by G. K. Savvidy, George K. Savvidy, Rolf Schneider +1 · 14 citations
Mathematics · Physics and Astronomy · #Convex function #Curvature #Expression (computer science) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Hyperplane #Inequality #Integral geometry #Point processes and geometric inequalities #Regular polygon #hep-th
paper · pdf · doi:10.1007/bf02099778
published in Communications in Mathematical Physics 161(2), 283-287 (Springer Science+Business Media) · 6 pages, Latex
arxiv created 1994/01/12 · openalex publication_date 1994/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.