POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES

• Published in: Nagoya mathematical journal Vol. 248; pp. 766 - 778
• Main Author: WU, KUANG-RU
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.12.2022
• Subjects: Mathematical functions; Norms; 32J25; 32L15; 32F17

We construct a convex and strongly pseudoconvex Kobayashi positive Finsler metric on a vector bundle E under the assumption that the symmetric power of the dual $S^kE^*$ has a Griffiths negative $L^2$ -metric for some k. The proof relies on the negativity of direct image bundles and the Minkowski in...