Euler characteristic and Lipschitz–Killing curvatures of closed semi-algebraic sets

Euler characteristic and Lipschitz–Killing curvatures of closed semi-algebraic sets

We prove a formula that relates the Euler–Poincaré characteristic of a closed semi-algebraic set to its Lipschitz–Killing curvatures.

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Veröffentlicht in:Geometriae dedicata 2012-06, Vol.158 (1), p.167-189
1. Verfasser: Dutertre, Nicolas
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
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Beschreibung
Zusammenfassung:We prove a formula that relates the Euler–Poincaré characteristic of a closed semi-algebraic set to its Lipschitz–Killing curvatures.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-011-9627-7