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math.DG2026
Prolongation and Killing two-tensors
Michael Eastwood, Thomas Leistner
We present a systematic prolongation procedure and its implementation for Killing two-tensors. We use the resulting machinery to elucidate the natural quadratic mapping from Killin…
math.DG2023★ 1 cited
Killing tensors on complex projective space
Michael Eastwood
The Killing tensors of arbitrary rank on complex projective space with its Fubini-Study metric are determined and it is shown that these spaces are generated by the Killing fields.
math.DG2010★ 1 cited
Geometric Poisson brackets on Grassmannians and conformal spheres
G. Mari Beffa, M. Eastwood
In this paper we relate the geometric Poisson brackets on the Grassmannian of 2-planes in R^4 and on the (2,2) Moebius sphere. We show that, when written in terms of local moving f…