Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

Autor:	Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu
Rok vydání:	2023
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity. We also show that a smooth Hermitian metric on a holomorphic vector bundle over a Stein manifold restricted to a submanifold which is negative in the sense of Griffiths (resp. Nakano) can be extended to the whole bundle with the same curvature negativity. Comment: 10pages. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.04964 Zobrazit plný text záznamu View this record from Arxiv