arXiv Analytics

Sign in

arXiv:1610.06390 [math.DG]AbstractReferencesReviewsResources

Kinematic formulas on the quaternionic plane

Andreas Bernig, Gil Solanes

Published 2016-10-20Version 1

We introduce different bases for the vector space of $\mathrm{Sp}(2)\mathrm{Sp}(1)$-invariant, translation invariant continuous valuations on the quaternionic plane and determine a complete set of kinematic formulas.

Related articles: Most relevant | Search more
arXiv:1401.5370 [math.DG] (Published 2014-01-21, updated 2014-05-09)
Classification of invariant valuations on the quaternionic plane
arXiv:0803.3885 [math.DG] (Published 2008-03-27)
Integral geometry under $G_2$ and $Spin(7)$
arXiv:0801.1606 [math.DG] (Published 2008-01-10, updated 2008-06-11)
A Hadwiger-type theorem for the special unitary group