Hessian Geometry and Phase Change of Gibbons-Hawking Metrics
Jian Zhou
TL;DR
This paper explores the Hessian geometric structure of toric Gibbons-Hawking metrics and investigates their phase change phenomena through the analysis of their moment map images.
Contribution
It introduces a novel analysis of the Hessian geometry and phase transitions in Gibbons-Hawking metrics using moment map techniques.
Findings
Identification of phase change phenomena in Gibbons-Hawking metrics
Characterization of Hessian geometric structures in these metrics
Insights into the moment map images related to phase transitions
Abstract
We study the Hessian geometry of toric Gibbons-Hawking metrics and their phase change phenomena via the images of their moment maps.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics