Geodesics on the Kahler cone of the Heisenberg group
Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun
TL;DR
This paper characterizes the geodesics on the Kähler cone of the Heisenberg group and proves that this manifold is incomplete, providing insights into its geometric structure.
Contribution
It provides a detailed description of geodesics on the Kähler cone of the Heisenberg group and establishes the incompleteness of this manifold.
Findings
Geodesics on the Kähler cone are explicitly described.
The Kähler cone of the Heisenberg group is shown to be incomplete.
Abstract
In this paper we describe the geodesics on the K\"ahler cone of the Heisenberg group. Furthermore we also prove that this is not a complete manifold.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research