Complete nonnegatively curved spheres and planes

Title:

Complete nonnegatively curved spheres and planes

dc.contributor.advisor	Belegradek, Igor
dc.contributor.author	Hu, Jing
dc.contributor.committeeMember	Etnyre, John
dc.contributor.committeeMember	Margalit, Dan
dc.contributor.committeeMember	Ghomi, Mohammad
dc.contributor.committeeMember	Yavari, Arash
dc.contributor.department	Mathematics
dc.date.accessioned	2015-09-21T14:25:28Z
dc.date.available	2015-09-21T14:25:28Z
dc.date.created	2015-08
dc.date.issued	2015-06-02
dc.date.submitted	August 2015
dc.date.updated	2015-09-21T14:25:28Z
dc.description.abstract	We study the space of complete Riemannian metrics of nonnegative curvature on the sphere equipped with C^{k+\alpha} topology. We show the space is homogenous for k>=2. If k is infinite, we show that the space is homeomorphic to the separable Hilbert space. We also prove for finite k, the space minius any compact subset is weakly contractible.
dc.description.degree	Ph.D.
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1853/53898
dc.publisher	Georgia Institute of Technology
dc.subject	Homogenous
dc.subject	Weakly contractible
dc.subject	Completely metrizable
dc.title	Complete nonnegatively curved spheres and planes
dc.type	Text
dc.type.genre	Dissertation
dspace.entity.type	Publication
local.contributor.corporatename	College of Sciences
local.contributor.corporatename	School of Mathematics
relation.isOrgUnitOfPublication	85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication	84e5d930-8c17-4e24-96cc-63f5ab63da69
thesis.degree.level	Doctoral