Heat kernel estimates and the Green functions on multiplier Hermitianmanifolds

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概要

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• Using a standard technique of Li and Yau, we study heat kernel estimates for a special type of compact conformally Kahler manifold, called a multiplier Hermitian manifold of type σ, which we derive from a Hamiltonian holomorphic vector field on the manifold. In particular, we obtain a lower bound estimate for the Green function averaged by the associated group action. For a fixed σ, such an estimate is known to play a crucial role in the proof of the uniqueness, modulo a group action, of Einstein multiplier Hermitian structures on a given Fano manifold.

• 東北大学の論文

著者

• Mabuchi Toshiki

  Department Of Mathematics Osaka University

関連論文

• Kahler-Einstein metrics for manifolds with nonvanishing Futakicharacter
• Vector field energies and critical metrics on Kahler manifolds
• Heat kernel estimates and the Green functions on multiplier Hermitianmanifolds

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