Brody curves and mean dimension
Shinichiroh Matsuo, Masaki Tsukamoto
TL;DR
This paper investigates the mean dimension of spaces of Brody curves, providing a specific formula for the space of Brody curves in the Riemann sphere, advancing understanding in complex geometry.
Contribution
It introduces a formula for the mean dimension of Brody curves in the Riemann sphere, a novel result in the study of complex geometric structures.
Findings
Derived the mean dimension formula for Brody curves in the Riemann sphere
Established a connection between Brody curves and mean dimension
Enhanced understanding of the geometric structure of Brody curve spaces
Abstract
We study the mean dimensions of the spaces of Brody curves. In particular we give the formula of the mean dimension of the space of Brody curves in the Riemann sphere.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory · Geometry and complex manifolds