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Algebraic Integral Geometry

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Integral Geometry and Valuations

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

Abstract

Recent work of S. Alesker has catalyzed a flurry of progress in Blaschkean integral geometry and opened the prospect of further advances. By this term we understand the circle of ideas surrounding the kinematic formulas (Theorem 2.1.6 below), which express related fundamental integrals relating to the intersections of two subspaces K, L ⊂ ℝn in general position in terms of certain “total curvatures” of K and L separately.

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Authors and Affiliations

  1. Department of Mathematics, University of Georgia, Athens, GA, USA

    Joseph H. G. Fu

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  1. Joseph H. G. Fu
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Editors and Affiliations

  1. Universitat Autònoma de Barcelona, Barcelona, Spain

    Eduardo Gallego

  2. Universitat Autònoma de Barcelona, Barcelona, Spain

    Gil Solanes

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Fu, J.H.G. (2014). Algebraic Integral Geometry. In: Gallego, E., Solanes, G. (eds) Integral Geometry and Valuations. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0874-3_2

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