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math.DG2023★ 1 cited
Note on a numerical equality regarding the eta invariant on Berger spheres
J. S. Dowker
The Dirac APS eta invariant on a Berger sphere of dimension is discovered, numerically, to coincide, up to spin factors, with the Dirac conformal anomaly on a round sphere o…
math.DG2023
Algebraic derivation of some theorems concerning contact structures on the 3-sphere
J. S. Dowker
Two theorems involving curl eigenfields on the 3--sphere are obtained using angular momentum theory. Spinor hyperspherical harmonics are shown to form an explicit, convenient basis…