Full paper in PDF:
$%L. Bröker, M. Kuppe, and W. Scheufler, Inner metric properties of 2-dimensional semi-algebraic sets, Rev. Mat. Univ. Complut. Madrid 10 (1997), supplementary, 5178. %$

Inner Metric Properties of 2-Dimensional Semi-algebraic Sets
L. BRÖKER, M. KUPPE,
and W. SCHEUFLER
Mathematisches Institut
Einsteinstraße 62
D-48149 Münster

ABSTRACT

We consider 2-dimensional semialgebraic topological manifolds from the differentialgeometric point of view. Curvatures at singularities are defined and a Gauss-Bonnet formula holds. Moreover, Aleksandrov’s axioms for an intrinsic geometry of surfaces are fulfilled.

2000 Mathematics Subject Classification: 14P10, 14P99.