Communications in Analysis and Geometry

Volume 11 (2003)

Number 3

A New 3-dimensional Curvature Integral Formula for PL-manifolds of Non-positive Curvature

Pages: 489 – 551



Jianguo Cao

José F. Escobar


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.

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