Bando-Futaki invariants on hypersurfaces
Resource
Transactions of the American Mathematical Society, 362(6), 2923-2962
Journal
Transactions of the American Mathematical Society
Journal Volume
362
Journal Issue
6
Pages
2923-2962
Date Issued
2010
Date
2010
Author(s)
Liu, Chiung-Ju
Abstract
In this paper, the Bando-Futaki invariants on hypersurfaces are derived in terms of the degree of the defining polynomials, the dimension of the underlying projective space, and the given holomorphic vector field. In addition, the holomorphic invariant introduced by Tian and Chen (2002) is proven to be the Futaki invariant on compact Kähler manifolds with positive first Chern class.
Type
journal article
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