Kinematic formulas on the quaternionic plane

DOI10.1112/plms.12050zbMath1430.52017arXiv1610.06390OpenAlexW3123954791MaRDI QIDQ5371075

Gil Solanes, Andreas Bernig

Publication date: 24 October 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06390

zbMATH Keywords

valuationskinematic formulasquaternionic planes

Mathematics Subject Classification ID

Integral geometry (53C65) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (9)

On Hodge-Riemann relations for translation-invariant valuations ⋮ Additive kinematic formulas for flag area measures ⋮ Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ Geometric valuation theory ⋮ From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies ⋮ Kinematic formulae for tensorial curvature measures ⋮ Contact measures in isotropic spaces ⋮ Contact integral geometry and the Heisenberg algebra ⋮ Characterisation of valuations and curvature measures in euclidean spaces

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