We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Poisson Matrices on 3-Manifolds and Their Applications to 3-CPM Manifolds.
- Authors
Li, Hong Jun
- Abstract
In this paper, the existence of a global tangent frame on every oriented and connected smooth 3-manifold will be used to develop a global frame method in 3-dimensional geometry and topology. Corresponding to each global tangent frame, we define a Poisson matrix on the 3-manifold. And using it as an initial date, we give an explicit expression of all the curvatures for some Riemannian metric. The method is well applied to 3-manifolds with constant Poisson matrix. Such 3-manifolds are essentially the homogeneous spaces of 3-dimensional Lie groups.
- Subjects
MATRICES (Mathematics); POISSON manifolds; GEOMETRY
- Publication
Acta Mathematica Sinica, 2001, Vol 17, Issue 4, p697
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s101140100134