2018/02/05 by Mihai Visinescu
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Flow (mathematics) #Geodesic #Geodesic flow #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Hamiltonian (control theory) #Metric (unit) #Motion (physics) #Singularity #Space (punctuation) #hep-th
paper · pdf · doi:10.1142/s0217732318501079
published in Modern Physics Letters A 33(19), 1850107 (World Scientific) · 12 pages
arxiv created 2018/02/05 · openalex created_date 2018/02/23 · openalex publication_date 2018/06/19 · arxiv updated 2018/06/25 · openalex updated_date 2026/08/05
Methods of Hamiltonian dynamics are applied to study the geodesic flow on the resolved conifolds (rcs) over Sasaki–Einstein space [Formula: see text]. We construct explicitly the constants of motion and prove complete integrability of geodesics in the five-dimensional Sasaki–Einstein space [Formula: see text] and its Calabi–Yau metric cone. The singularity at the apex of the metric cone can be smoothed out in two different ways. Using the small resolution, the geodesic motion on the rc remains completely integrable. Instead, in the case of the deformation of the conifold, the complete integrability is lost.