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math.DG2013★ 1 cited
Rigidity Results for Hermitian-Einstein manifolds
Stuart James Hall, Thomas Murphy
A differential operator introduced by A. Gray on the unit sphere bundle of a Kähler-Einstein manifold is studied. A lower bound for the first eigenvalue of the Laplacian for the Sa…
math.DG2013
Bounding for Kähler-Einstein metrics with large symmetry groups
Stuart James Hall, Thomas Murphy
We calculate an upper bound for the second nonzero eigenvalue of the scalar Laplacian, , for toric Kähler-Einstein metrics in terms of the polytope data. We give some detail…