A Gauss–Bonnet formula for closed semi-algebraic sets

DOI10.1515/ADVGEOM.2008.003zbMath1222.14124OpenAlexW2093710710WikidataQ125570171 ScholiaQ125570171MaRDI QIDQ3516745

Nicolas Dutertre

Publication date: 11 August 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2008.003

Mathematics Subject Classification ID

Integral geometry (53C65) Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25)

Related Items (5)

Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets ⋮ On the topology of semi-algebraic functions on closed semi-algebraic sets ⋮ Total curvature of complete surfaces in hyperbolic space ⋮ Odd Pfaffian forms ⋮ Principal kinematic formulas for germs of closed definable sets

Cites Work

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• On the total curvature of immersed manifolds. II
• The normal cycle of a compact definable set
• Curvatures and currents for unions of sets with positive reach
• Integral geometry of tame sets
• Geometrical and topological properties of real polynomial fibres
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• Neighborhoods of Algebraic Sets
• Topological Properties of Subanalytic Sets
• Regular Stratification of Subanalytic Sets
• Curvature Measures of Subanalytic Sets
• Polar Varieties and Integral Geometry
• Lipschitz–Killing Invariants
• Critical Points and Curvature for Embedded Polyhedral Surfaces
• Stiefel-Whitney classes and the conormal cycle of a singular variety
• The Euler Number of a Riemann Manifold
• On Total Curvatures of Riemannian Manifolds: I
• The Gauss-Bonnet Theorem for Riemannian Polyhedra

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