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
Compact leaves in minimal Riemannian foliations - MaRDI portal

Compact leaves in minimal Riemannian foliations (Q1344167)

From MaRDI portal





scientific article; zbMATH DE number 720661
Language Label Description Also known as
English
Compact leaves in minimal Riemannian foliations
scientific article; zbMATH DE number 720661

    Statements

    Compact leaves in minimal Riemannian foliations (English)
    0 references
    9 February 1995
    0 references
    The main result says that any transversely orientable Riemannian foliation \({\mathcal F}\) of an orientable compact manifold \(M\) is minimalizable (that is, \(M\) admits a Riemannian metric w.r.t. which all the leaves of \({\mathcal F}\) are minimal, i.e. have mean curvature zero) provided that \({\mathcal F}\) has a compact leaf \(L\) with nonzero fundamental class \([L] \in H_ * (M)\).
    0 references
    foliation
    0 references
    mean curvature
    0 references
    compact leaf
    0 references
    0 references

    Identifiers