Cross Curvature Flow on Locally Homogeneous Three-manifolds (II)
Cao, Xiaodong ; Saloff-Coste, Laurent
Asian J. Math., Tome 13 (2009) no. 1, p. 421-458 / Harvested from Project Euclid
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In this paper, we study the positive cross curvature flow on locally homogeneous 3-manifolds. We describe the long time behavior of these flows. We combine this with earlier results concerning the asymptotic behavior of the negative cross curvature flow to describe the two sided behavior of maximal solutions of the cross curvature flow on locally homogeneous 3-manifolds. We show that, typically, the positive cross curvature flow on locally homogeneous 3-manifold produce an Heisenberg type sub-Riemannian geometry.
Publié le : 2009-12-15
Classification:  Cross Curvature Flow (XCF),  locally homogeneous 3-manifold,  53C44,  58J35,  35B55 
@article{1275671452,
     author = {Cao, Xiaodong and Saloff-Coste, Laurent},
     title = {Cross Curvature Flow on Locally Homogeneous Three-manifolds (II)},
     journal = {Asian J. Math.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 421-458},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1275671452}
}

Cao, Xiaodong; Saloff-Coste, Laurent. Cross Curvature Flow on Locally Homogeneous Three-manifolds (II). Asian J. Math., Tome 13 (2009) no. 1, pp.  421-458. http://gdmltest.u-ga.fr/item/1275671452/