2013/01/13 by Yushi Okitsu, Okitsu, Yushi
Mathematics · #53D20 #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D20
paper · pdf · doi:10.48550/arxiv.1301.2782
13 pages. This is a revised version of a previous paper "Symplectic Potentials Associated With Cutting Construction Of Toric Symplectic and Contact Manifolds"
openalex publication_date 2013/01/13 · arxiv created 2014/01/20 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the cutting construction of possibly non-compact symplectic toric manifolds, in particular, toric symplectic cones that correspond to a weakly convex good cone. Since the symplectization of a toric contact manifold is a toric symplectic cone, we can also construct toric contact manifolds that correspond to a weakly convex good cone by the cutting construction. (Note that these toric contact manifolds can not be constructed by Delzant construction.) We further prove there are no toric Sasakian structures on these contact manifolds. From this, contact toric manifolds of toric K-contact type are of toric Sasakian type.