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math.DG2003★ 7 cited
The Futaki invariant and the Mabuchi energy of a complete intersection
D. H. Phong, Jacob Sturm
We study the Futaki invariant and the Mabuchi K-energy of a Kähler manifold using the Deligne pairing technique developed in earlier papers. We first prove a rather simple char…
math.DG2003★ 2 cited
On asymptotics for the Mabuchi energy functional
D. H. Phong, Jacob Sturm
If is a projective manifold in , then one can associate to each one parameter subgroup of the Mumford invariant. The manifold is Chow-Mumford stable…