Positivity of metrics on conic neighbourhoods of $1$-convex submanifolds
Jasna Prezelj
TL;DR
This paper investigates the positivity characteristics of vector bundles in conic neighborhoods around sections of submersions on 1-convex manifolds, contributing to complex geometry and vector bundle theory.
Contribution
It introduces new positivity results for vector bundles over conic neighborhoods of submanifold sections in 1-convex manifolds.
Findings
Positivity properties established for vector bundles in specific geometric contexts.
New techniques for analyzing vector bundle positivity in conic neighborhoods.
Enhanced understanding of geometric structures on 1-convex manifolds.
Abstract
We consider positivity properties of vector bundles over conic neighbourhoods of sections of submersions over -convex manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology