Intrinsic curvatures in analytic-geometric categories

Andreas Bernig[1]; Ludwig Bröcker[2]

  • [1] Universität Freiburg, Institut für Mathematik, Eckerstr. 1, 79104 Freiburg (Allemagne)
  • [2] Universität Münster, SFB-47 Geometrische Strukturen, Hittorfstr. 27, 48149 Münster (Allemagne)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 6, page 1897-1924
  • ISSN: 0373-0956

Abstract

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Two types of curvatures are associated to a compact, definable subset of a real analytic Riemannian manifold. If the manifold has constant curvature, there are some linear relations between these measures. As application, a kinematic formula is proved, local densities are defined and volumes of regular simplexes are studied.

How to cite

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Bernig, Andreas, and Bröcker, Ludwig. "Courbures intrinsèques dans les catégories analytico-géométriques." Annales de l’institut Fourier 53.6 (2003): 1897-1924. <http://eudml.org/doc/116088>.

@article{Bernig2003,
abstract = {Deux types de courbures sont associés à un sous-ensemble compact et définissable d'une variété riemannienne analytique réelle. Si la variété est de courbure constante, il y a des relations linéaires entre ces mesures. Comme application, nous démontrons une formule cinématique, définissons des densités locales, et nous étudions les volumes des simplexes réguliers.},
affiliation = {Universität Freiburg, Institut für Mathematik, Eckerstr. 1, 79104 Freiburg (Allemagne); Universität Münster, SFB-47 Geometrische Strukturen, Hittorfstr. 27, 48149 Münster (Allemagne)},
author = {Bernig, Andreas, Bröcker, Ludwig},
journal = {Annales de l’institut Fourier},
keywords = {curvatures; subanalytic spaces; kinematic formula; densities},
language = {fre},
number = {6},
pages = {1897-1924},
publisher = {Association des Annales de l'Institut Fourier},
title = {Courbures intrinsèques dans les catégories analytico-géométriques},
url = {http://eudml.org/doc/116088},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Bernig, Andreas
AU - Bröcker, Ludwig
TI - Courbures intrinsèques dans les catégories analytico-géométriques
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 6
SP - 1897
EP - 1924
AB - Deux types de courbures sont associés à un sous-ensemble compact et définissable d'une variété riemannienne analytique réelle. Si la variété est de courbure constante, il y a des relations linéaires entre ces mesures. Comme application, nous démontrons une formule cinématique, définissons des densités locales, et nous étudions les volumes des simplexes réguliers.
LA - fre
KW - curvatures; subanalytic spaces; kinematic formula; densities
UR - http://eudml.org/doc/116088
ER -

References

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