General Mathematics, Vol. 5, No. 1 - 4, pp. 175-182, 1995

X. Gual, A. M. Naveira, A. Tarrio -- An Introduction to Integral Geometry in the $n$-Dimensional Quaternionic Space

Abstract: In order to complete the study of Integral Geometry in symmetric spaces of rank one, we introduce in this paper some results of integral geometry in the $n$-dimensional quaternionic space $Q^n$. In particular, we define the density for linear spaces in $Q^n$ and the kinematic density of the group of quaternionic motions.

Classification (MSC91): 53C65

Key words: Integral geometry, quaternionic space, kinematic density.

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