Inner metric properties of 2-dimensional semi-algebraic sets.

Bröcker, L., Kuppe, M., and Scheufler, W.. "Inner metric properties of 2-dimensional semi-algebraic sets.." Revista Matemática de la Universidad Complutense de Madrid 10.Supl. (1997): 51-78. <http://eudml.org/doc/44250>.

@article{Bröcker1997,
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.},
author = {Bröcker, L., Kuppe, M., Scheufler, W.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Geometría algebraica; Conjuntos; Espacio bidimensional; Métrica; Gauss-Bonnet formula; piecewise semialgebraic surface; Aleksandrov surface; angles; curvatures},
language = {eng},
number = {Supl.},
pages = {51-78},
title = {Inner metric properties of 2-dimensional semi-algebraic sets.},
url = {http://eudml.org/doc/44250},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Bröcker, L.
AU - Kuppe, M.
AU - Scheufler, W.
TI - Inner metric properties of 2-dimensional semi-algebraic sets.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - Supl.
SP - 51
EP - 78
AB - 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.
LA - eng
KW - Geometría algebraica; Conjuntos; Espacio bidimensional; Métrica; Gauss-Bonnet formula; piecewise semialgebraic surface; Aleksandrov surface; angles; curvatures
UR - http://eudml.org/doc/44250
ER -