About: Loewner's torus inequality

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In differential geometry, Loewner's torus inequality is an inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus.

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rdf:type	yago:Abstraction100002137 yago:Attribute100024264 yago:Difference104748836 yago:Inequality104752221 yago:Quality104723816 yago:WikicatGeometricInequalities yago:WikicatInequalities
rdfs:label	Inégalité torique de Loewner (fr) Loewner's torus inequality (en)
rdfs:comment	In differential geometry, Loewner's torus inequality is an inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus. (en) En géométrie différentielle, l'inégalité torique de Loewner est une inégalité établie par le mathématicien américain Charles Loewner. Elle relie la systole et l'aire d'une métrique riemannienne quelconque d'un tore de dimension 2. (fr)
foaf:depiction
dcterms:subject	Differential geometry Systolic geometry Geometric inequalities Differential geometry of surfaces Riemannian geometry
Wikipage page ID	12003118 (xsd:integer)
Wikipage revision ID	1018495084 (xsd:integer)
Link from a Wikipage to another Wikipage	Pu's inequality Differential geometry Systolic geometry Eisenstein integer Proc. Amer. Math. Soc. Geometric inequalities Fubini's theorem Systoles of surfaces Torus American Mathematical Society Differential geometry of surfaces Riemannian metric Gromov's systolic inequality for essential manifolds Hermite constant Area Riemannian geometry Charles Loewner Systolic geometry Hexagonal lattice Differential geometry Bonnesen's inequality Gromov's inequality for complex projective space Inequality (mathematics) Euler characteristic Probability measure Pacific J. Math. Orientable surface 2-torus
Link from a Wikipage to an external page	http://projecteuclid.org/euclid.pjm/1103051942
sameAs	Loewner's torus inequality Loewner's torus inequality Loewner's torus inequality Loewner's torus inequality Loewner's torus inequality
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thumbnail	wiki-commons:Special:FilePath/Loewner63.jpg?width=300
has abstract	In differential geometry, Loewner's torus inequality is an inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus. (en) En géométrie différentielle, l'inégalité torique de Loewner est une inégalité établie par le mathématicien américain Charles Loewner. Elle relie la systole et l'aire d'une métrique riemannienne quelconque d'un tore de dimension 2. (fr)
gold:hypernym	Inequality
prov:wasDerivedFrom	wikipedia-en:Loewner's_torus_inequality?oldid=1018495084&ns=0
page length (characters) of wiki page	5634 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Loewner's_torus_inequality
is Link from a Wikipage to another Wikipage of	List of differential geometry topics List of inequalities List of probabilistic proofs of non-probabilistic theorems Pu's inequality Eisenstein integer Systoles of surfaces Torus Gromov's systolic inequality for essential manifolds Hermite constant Introduction to systolic geometry Charles Loewner Systolic geometry Differential geometry of surfaces Bonnesen's inequality Filling radius Gromov's inequality for complex projective space Pao Ming Pu Loewner's inequality Loewner inequality
is Wikipage redirect of	Loewner's inequality Loewner inequality
is foaf:primaryTopic of	wikipedia-en:Loewner's_torus_inequality

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