About: Varifold

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In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry. Varifolds generalize the idea of a rectifiable current, and are studied in geometric measure theory.

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rdfs:label	Varifaltigkeit (de) Varivariedade (pt) Varifold (en)
rdfs:comment	Die Varifaltigkeit (englisch Varifold) ist ein mathematischer Begriff aus der geometrischen Maßtheorie. Varifaltigkeiten sind Maße und können differenzierbare Mannigfaltigkeit durch das Konzept der Rektifizierbarkeit verallgemeinern. Dadurch können auch Flächen mit Singularitäten modelliert werden. Rektifizierbare Varifaltigkeiten verallgemeinern rektifizierbare Ströme. (de) In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry. Varifolds generalize the idea of a rectifiable current, and are studied in geometric measure theory. (en) Em teoria da medida, varivariedade (varifold em inglês) é uma generalização do conceito de variedade diferenciável em que se substitui os requisitos de diferenciabilidade pelos de conjuntos retificáveis, mas mantendo-se a estrutura algébrica usual das variedades conforme usadas em geometria diferencial. (pt)
dcterms:subject	Generalized manifolds Measure theory
Wikipage page ID	6706053 (xsd:integer)
Wikipage revision ID	1014769550 (xsd:integer)
Link from a Wikipage to another Wikipage	Calculus of variations Canberra Princeton, New Jersey Princeton University Library Science Press Boundary operator Mimeograph Beijing Annals of Mathematics Approximate tangent space Current (mathematics) Mathematics Measure theory Geometric measure theory Notices of the American Mathematical Society Frederick J. Almgren Jr. Grassmannian Mir Publishers Moscow Plateau's problem Australian National University Hausdorff measure American Mathematical Society Euclidean space Generalized manifolds Radon measure International Congress of Mathematicians Measure theory Laurence Chisholm Young Rectifiable set Differentiable manifold Differential form Differential geometry Bulletin de la Société Mathématique de France Orientability Providence, RI dbr:International_Press Dimension (mathematics) dbr:William_K._Allard dbr:The_Journal_of_Geometric_Analysis dbr:Centre_for_Mathematics_and_its_Applications
Link from a Wikipage to an external page	http://www.mathunion.org/ICM/ICM1966.1/ http://www.mathunion.org/ICM/ICM1966.1/Main/icm1966.1.0395.0401.ocr.pdf https://books.google.com/books%3Fid=Tk8zHPGVmBsC https://books.google.com/books%3Fisbn=0821810677 http://www.numdam.org/item%3Fid=BSMF_1951__79__59_0 https://books.google.com/books%3Fid=mncIV2c5Z4sC http://www.ams.org/notices/199711/index.html http://maths.anu.edu.au/research/symposia-proceedings/lectures-geometric-measure-theory
sameAs	Varifold Varifold Varifold Varifold Varifold Varifold
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Harv dbt:ISBN dbt:Reflist
author	T. C. O'Neil (en)
id	G/g130040 (en)
title	Geometric measure theory (en)
has abstract	Die Varifaltigkeit (englisch Varifold) ist ein mathematischer Begriff aus der geometrischen Maßtheorie. Varifaltigkeiten sind Maße und können differenzierbare Mannigfaltigkeit durch das Konzept der Rektifizierbarkeit verallgemeinern. Dadurch können auch Flächen mit Singularitäten modelliert werden. Rektifizierbare Varifaltigkeiten verallgemeinern rektifizierbare Ströme. (de) In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry. Varifolds generalize the idea of a rectifiable current, and are studied in geometric measure theory. (en) Em teoria da medida, varivariedade (varifold em inglês) é uma generalização do conceito de variedade diferenciável em que se substitui os requisitos de diferenciabilidade pelos de conjuntos retificáveis, mas mantendo-se a estrutura algébrica usual das variedades conforme usadas em geometria diferencial. (pt)
prov:wasDerivedFrom	wikipedia-en:Varifold?oldid=1014769550&ns=0
page length (characters) of wiki page	12696 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Varifold
is Link from a Wikipage to another Wikipage of	Almgren–Pitts min-max theory Current (mathematics) Computational anatomy Frederick J. Almgren Jr. Tangent measure Curve-shortening flow Laurence Chisholm Young
is known for of	Frederick J. Almgren Jr.

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