https://neckpinch.com/authors/philipp-naumann/New arXiv papers by Philipp Naumann, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1710.10034/arxiv:1710.10034Fri, 27 Oct 2017 00:00:00 GMTPhilipp Naumann — The Griffiths conjecture asserts that every ample vector bundle E over a compact complex manifold S admits a hermitian metric with positive curvature in the sense of Griffiths. In this article we give a sufficient condition for a positive hermitian metric on 𝓞_(ℙ(E^*))(1) to induce a Griffiths positive L²-metric on the vector bundle E. This result suggests to study the relative Kähler-Ricci flow on 𝓞_(ℙ(E^*))(1) for the fibration ℙ(E^*)→ S. We define a flow and give arguments for the convergence.Ricci flowKähler–Ricci flowKähler geometry