Classification of invariant valuations on the quaternionic plane

DOI10.1016/J.JFA.2014.06.017zbMath1305.53076arXiv1401.5370OpenAlexW1995278897MaRDI QIDQ457606

Gil Solanes, Andreas Bernig

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5370

zbMATH Keywords

Kähler anglevaluationcosine transformHadwiger theorem

Mathematics Subject Classification ID

Integral geometry (53C65) Differential geometry of symmetric spaces (53C35)

Related Items (14)

A Hadwiger-Type Theorem for General Tensor Valuations ⋮ Valuation theory of indefinite orthogonal groups ⋮ Crofton formulas and indefinite signature ⋮ Additive kinematic formulas for flag area measures ⋮ Spin-invariant valuations on the octonionic plane ⋮ Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ Uniqueness of curvature measures in pseudo-Riemannian geometry ⋮ Geometric valuation theory ⋮ Dimension of the space of unitary equivariant translation invariant tensor valuations ⋮ \(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations ⋮ 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

Uses Software

• LiE

Cites Work

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