Linked Life Data

16710559

Source:http://linkedlifedata.com/resource/pubmed/id/16710559

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
2
pubmed:dateCreated
2006-5-19
pubmed:abstractText
In this short communication, we announce results from our research on the structure of complete noncompact oriented weakly stable minimal hypersurfaces in a manifold of nonnegative sectional curvature. In particular, a complete oriented weakly stable minimal hypersurface in Rm, m > or = 4, must have only one end; any complete noncompact oriented weakly stable minimal hypersurface has only one end if the complete oriented ambient manifold Nm, m > or = 7, has nonnegative sectional curvature and Ricci curvature bounded below by a positive constant; a complete oriented weakly stable minimal hypersurface in Rm, m > or = 4, with finite total scalar curvature is a hyperplane.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Jun
pubmed:issn
0001-3765
pubmed:author
pubmed:issnType
Print
pubmed:volume
78
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
195-201
pubmed:year
2006
pubmed:articleTitle
The structure of weakly stable minimal hypersurfaces.
pubmed:affiliation
Instituto de Matemática, Universidade Federal Fluminense, 24020-140 Niterói, RJ, Brazil. xcheng@impa.br
pubmed:publicationType
Journal Article