Results 31 to 40 of about 735 (92)

Einstein Metrics on Spheres

open access: yes, 2003
We prove the existence of an abundance of new Einstein metrics on odd dimensional spheres including exotic spheres, many of them depending on continuous parameters. The number of families as well as the number of parameter grows double exponentially with
Boyer, Charles P.   +2 more
core   +3 more sources

Convergence of homogeneous manifolds

open access: yes, 2012
We study in this paper three natural notions of convergence of homogeneous manifolds, namely infinitesimal, local and pointed, and their relationship with a fourth one, which only takes into account the underlying algebraic structure of the homogeneous ...
Lauret, Jorge
core   +1 more source

Ricci flow on K\"ahler-Einstein manifolds

open access: yes, 2003
In our previous paper math.DG/0010008, we develop some new techniques in attacking the convergence problems for the K\"ahler Ricci flow. The one of main ideas is to find a set of new functionals on curvature tensors such that the Ricci flow is the ...
Chen, X. X., Tian, G.
core   +1 more source

Four-manifolds of Pinched Sectional Curvature

open access: yes, 2019
In this paper, we study closed four-dimensional manifolds. In particular, we show that under various new pinching curvature conditions (for example, the sectional curvature is no more than 5/6 of the smallest Ricci eigenvalue) then the manifold is ...
Cao, Xiaodong, Tran, Hung
core  

Latent disconnectome prediction of long-term cognitive-behavioural symptoms in stroke. [PDF]

open access: yesBrain, 2023
Talozzi L   +11 more
europepmc   +1 more source

On the geometry of cohomogeneity one manifolds with positive curvature

open access: yes, 2007
This is a survey on cohomogeneity one manifolds with positive curvature. We discuss the known examples of this type and their geometry and the functions that describe the metric. We also describe the classification of cohomogeneity one manifolds that can
Ziller, Wolfgang
core   +1 more source

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