Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A class of locally conformally flat 4-manifolds - MaRDI portal

A class of locally conformally flat 4-manifolds (Q713068)

From MaRDI portal
scientific article
Language Label Description Also known as
English
A class of locally conformally flat 4-manifolds
scientific article

    Statements

    A class of locally conformally flat 4-manifolds (English)
    0 references
    0 references
    0 references
    25 October 2012
    0 references
    The main result of this interesting paper is contained in Theorem 1. It illustrates the richness of topological types in the class of \(4\)-manifolds: there are infinite families of closed, nonsimply connected, locally conformally flat \(4\)-manifolds, with Betti number growth: \(b_1\rightarrow \infty, b_1\rightarrow \infty\) or bounded, and \(\chi \rightarrow -\infty\). These manifolds have strictly negative scalar curvature.
    0 references
    0 references
    locally conformally flat metrics
    0 references
    Kleinian groups
    0 references
    scalar curvature
    0 references
    handlebody theory
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references