https://neckpinch.com/authors/xueyuan-wan/New arXiv papers by Xueyuan Wan, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1801.09886/arxiv:1801.09886Tue, 30 Jan 2018 00:00:00 GMTXueyuan Wan — In this paper, we introduce a flow over the projective bundle p:P(E^*)→ M, which is a natural generalization of both Hermitian-Yang-Mills flow and Kähler-Ricci flow. We prove that the semipositivity of curvature of the hyperplane line bundle 𝓞_(P(E^*))(1) is preserved along this flow under the null eigenvector assumption. As applications, we prove that the semipositivity is preserved along the this flow if the base manifold M is a curve, which implies that the Griffiths semipositivity is preserved along the Hermitian-Yang-Mills flow over a curve. And we also reprove that the nonnegativity of holomorphic bisectional curvature is preserved under Kähler-Ricci flow.Ricci flowKähler–Ricci flowKähler geometry