Hessian Geometry and Phase Changes of Multi-Taub-NUT Metrics
Jian Zhou
TL;DR
This paper explores the Hessian geometric structure and phase change phenomena of toric multi-Taub-NUT metrics using moment map images, extending previous work on toric Gibbons-Hawking metrics.
Contribution
It introduces a generalized analysis of phase changes in multi-Taub-NUT metrics through Hessian geometry and moment map images, building on prior studies of toric Gibbons-Hawking metrics.
Findings
Identification of phase change phenomena via moment map images
Extension of Hessian geometric analysis to multi-Taub-NUT metrics
Generalization of earlier results on toric Gibbons-Hawking metrics
Abstract
We study the Hessian geometry of toric multi-Taub-NUT metrics and their phase change phenomena via the images of their moment maps. This generalizes an earlier paper on toric Gibbons-Hawking metrics.
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Taxonomy
TopicsGeometry and complex manifolds · Nonlinear Waves and Solitons · Black Holes and Theoretical Physics