Communications in Analysis and Geometry
Volume 11 (2003)
A New 3-dimensional Curvature Integral Formula for PL-manifolds of Non-positive Curvature
Pages: 489 – 551
In this paper, we derive a new curvature integral formula for 3-dimensional piecewise linear manifolds with singularities. Among other things, we also present a sharp isoperimetric inequality for 3-dimensional PL-manifolds of non-positive curvature by using this new curvature integral formula.