About: Almgren–Pitts min-max theory

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In mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for hypersurfaces. The theory started with the efforts for generalizing George David Birkhoff's method for the construction of simple closed geodesics on the sphere, to allow the construction of embedded minimal surfaces in arbitrary 3-manifolds.

Attributes	Values
rdf:type	drug
rdfs:label	Almgren–Pitts min-max theory (en) Teoria de Almgren-Pitts (pt)
rdfs:comment	Em matemática, a teoria de Almgren-Pitts (nomeada após Frederick J. Almgren, Jr. e seu aluno Jon T. Pitts), também chamada teoria min-max das superfícies mínimas é uma teoria de hipersuperfícies análoga à (que se aplica a variedades). A teoria desempenhou papéis nas soluções para várias conjecturas em geometria e topologia pelos próprios F. Almgren e J. Pitts e também por M. L. Gromov, R. Schoen, S.-T. Yau, F. C. Marques, A. A. Neves, I. Agol, dentre outros. (pt) In mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for hypersurfaces. The theory started with the efforts for generalizing George David Birkhoff's method for the construction of simple closed geodesics on the sphere, to allow the construction of embedded minimal surfaces in arbitrary 3-manifolds. (en)
dcterms:subject	Minimal surfaces Geometry Calculus of variations Topology Measure theory
Wikipage page ID	46587298 (xsd:integer)
Wikipage revision ID	1044293654 (xsd:integer)
Link from a Wikipage to another Wikipage	Princeton University Press Minimal surfaces Richard Schoen Mathematics Geometric analysis Geometric measure theory Geodesic Geometry George David Birkhoff Morse theory Conjecture Leon Simon Embedding Geometry Calculus of variations Topology Willmore conjecture Dold–Thom theorem Jon T. Pitts Minimal surface Almgren Isomorphism Theorem Almgren isomorphism theorem 3-manifold Topology Fernando Codá Marques André Neves Frederick J. Almgren Jr. Freedman–He–Wang conjecture Riemannian manifold Hypersurface Yau's conjecture Measure theory Homology (mathematics) Homotopy group Ian Agol Institute for Advanced Study Mikhail Leonidovich Gromov Shing-Tung Yau Varifold Andre Neves
Link from a Wikipage to an external page	http://www.crm.umontreal.ca/rapports/bulletin/bulletin21-2.pdf
sameAs	Almgren–Pitts min-max theory Almgren–Pitts min-max theory Almgren–Pitts min-max theory Almgren–Pitts min-max theory
dbp:wikiPageUsesTemplate	dbt:Cite_arXiv dbt:Cite_book dbt:Expand_section dbt:Reflist dbt:Mathematics-stub
has abstract	In mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for hypersurfaces. The theory started with the efforts for generalizing George David Birkhoff's method for the construction of simple closed geodesics on the sphere, to allow the construction of embedded minimal surfaces in arbitrary 3-manifolds. It has played roles in the solutions to a number of conjectures in geometry and topology found by Almgren and Pitts themselves and also by other mathematicians, such as Mikhail Gromov, Richard Schoen, Shing-Tung Yau, Fernando Codá Marques, André Neves, Ian Agol, among others. (en) Em matemática, a teoria de Almgren-Pitts (nomeada após Frederick J. Almgren, Jr. e seu aluno Jon T. Pitts), também chamada teoria min-max das superfícies mínimas é uma teoria de hipersuperfícies análoga à (que se aplica a variedades). A teoria desempenhou papéis nas soluções para várias conjecturas em geometria e topologia pelos próprios F. Almgren e J. Pitts e também por M. L. Gromov, R. Schoen, S.-T. Yau, F. C. Marques, A. A. Neves, I. Agol, dentre outros. (pt)
gold:hypernym	Analogue
prov:wasDerivedFrom	wikipedia-en:Almgren–Pitts_min-max_theory?oldid=1044293654&ns=0
page length (characters) of wiki page	7203 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Almgren–Pitts_min-max_theory
is Link from a Wikipage to another Wikipage of	Antoine Song Richard Schoen List of mathematical theories Frederick J. Almgren Jr. Möbius energy Leon Simon Willmore conjecture Jon T. Pitts Almgren isomorphism theorem Fernando Codá Marques Shing-Tung Yau Min-max theory of minimal surfaces Almgren-Pitts' min-max theory Almgren-Pitts min-max theory Almgren-Pitts min-max theory of minimal surfaces Almgren-Pitts theory Almgren–Pitts' min-max theory Almgren–Pitts theory
is Wikipage redirect of	Min-max theory of minimal surfaces Almgren-Pitts' min-max theory Almgren-Pitts min-max theory Almgren-Pitts min-max theory of minimal surfaces Almgren-Pitts theory Almgren–Pitts' min-max theory Almgren–Pitts theory
is known for of	Frederick J. Almgren Jr.
is known for of	Frederick J. Almgren Jr. Fernando Codá Marques
is foaf:primaryTopic of	wikipedia-en:Almgren–Pitts_min-max_theory

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