G. Cairns

activity

20112023

most citedTotally Geodesic Subalgebras of Nilpotent Lie algebras

11 citations · 23 across the 23 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.DG2022

Respectful decompositions of Lie algebras

Grant Cairns, Yuri Nikolayevsky

One of Pierre Molino's principal mathematical achievements was his theory of Riemannian foliations. One of his last papers, published in 2001, showed that his theory could be exten…

math.GM2022

A simple sum for simplices

Christian Aebi, Grant Cairns

We give a vector identity for $n + 2$ points in $R^{n}$ . It follows as a corollary that when $n$ is odd the sum of the signed volumes of the $n$ -simplices is zero, and when $n$ …