About: Preissmann's theorem

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In Riemannian geometry, a field of mathematics, Preissmann's theorem is a statement that restricts the possible topology of a negatively curved compact Riemannian manifold. It is named for Alexandre Preissmann, who published a proof in 1943.

Attributes	Values
rdfs:label	Preissmann's theorem (en)
rdfs:comment	In Riemannian geometry, a field of mathematics, Preissmann's theorem is a statement that restricts the possible topology of a negatively curved compact Riemannian manifold. It is named for Alexandre Preissmann, who published a proof in 1943. (en)
dct:subject	Theorems in Riemannian geometry
Wikipage page ID	33848514 (xsd:integer)
Wikipage revision ID	1073546927 (xsd:integer)
Link from a Wikipage to another Wikipage	Theorems in Riemannian geometry Totally geodesic Detlef Gromoll Joseph Wolf Compact space Mathematics Chelsea Publishing Company Alexandrov space Closed manifold Commentarii Mathematici Helvetici Fundamental group Springer Publishing Topology Torus American Mathematical Society Partial differential equation Graduate Studies in Mathematics Graduate Texts in Mathematics Joseph H. Sampson Riemannian geometry Riemannian manifold Harmonic map Isomorphic James Eells Springer, Cham Integers Metric space Shing-Tung Yau Sectional curvature Springer-Verlag Blaine Lawson Abelian subgroup Birkhäuser Boston Isometric immersion
Link from a Wikipage to an external page	https://www.pdmi.ras.ru/~svivanov/papers/bbi-errata.pdf%7Cchecked=yes
sameAs	Preissmann's theorem Preissmann's theorem
dbp:wikiPageUsesTemplate	dbt:Erratum dbt:Cite_book dbt:Cite_journal dbt:Math dbt:Mvar dbt:Refbegin dbt:Refend dbt:Reflist dbt:Sfnm dbt:Short_description dbt:Wikicite dbt:SfnRef
1a	Jost (en) do Carmo (en) Ebin (en) Cheeger (en) Bridson (en) Haefliger (en) Preissmann (en)
1loc	Chapter 9 (en) Chapter II.7 (en) Section 9.7 (en) Theorem 12.3.2 (en) Theorem 12.3.8 (en)
1y	1943 (xsd:integer) 1992 (xsd:integer) 1999 (xsd:integer) 2008 (xsd:integer) 2017 (xsd:integer)
2a	Petersen (en) Ivanov (en) Burago (en)
2y	2001 (xsd:integer) 2016 (xsd:integer)
2loc	Section 9.3 (en) Theorem 6.2.6 (en)
has abstract	In Riemannian geometry, a field of mathematics, Preissmann's theorem is a statement that restricts the possible topology of a negatively curved compact Riemannian manifold. It is named for Alexandre Preissmann, who published a proof in 1943. (en)
prov:wasDerivedFrom	wikipedia-en:Preissmann's_theorem?oldid=1073546927&ns=0
page length (characters) of wiki page	5333 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Preissmann's_theorem
is Link from a Wikipage to another Wikipage of	Preissman's theorem
is Wikipage redirect of	Preissman's theorem
is foaf:primaryTopic of	wikipedia-en:Preissmann's_theorem

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