The Sasakian Geometry of the Heisenberg Group

zbMath1199.53102arXiv0904.1406MaRDI QIDQ3645456

Charles P. Boyer

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/0904.1406

zbMATH Keywords

Heisenberg groupextremal metricsCR structuresSasaki cone

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10) CR manifolds as boundaries of domains (32V15)

Related Items (11)

The contact metric connection with skew torsion ⋮ Maximal tori in contactomorphism groups ⋮ Sub-Riemannian geodesics on the multidimensional Heisenberg group ⋮ Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field ⋮ One-parameter solutions of the Euler-Arnold equation on the contactomorphism group ⋮ A Kähler structure for the \(\text{PU}(2, 1)\) configuration space of four points in \(S^3\) ⋮ The contact metric connection on the Heisenberg group ⋮ The real Jacobi group revisited ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ Hamiltonian systems on almost cosymplectic manifolds ⋮ Classification of left-invariant metrics on the Heisenberg group

This page was built for publication: The Sasakian Geometry of the Heisenberg Group