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.
Read more about Loewner's Torus Inequality: Statement, Case of Equality, Alternative Formulation, Proof of Loewner's Torus Inequality, Higher Genus
Famous quotes containing the word inequality:
“Nature is unfair? So much the better, inequality is the only bearable thing, the monotony of equality can only lead us to boredom.”
—Francis Picabia (1878–1953)