Morse index and multiplicity of min-max minimal hypersurfaces

Author(s): Coda Marques, Fernando; Neves, André

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DC Field	Value	Language
dc.contributor.author	Coda Marques, Fernando	-
dc.contributor.author	Neves, André	-
dc.date.accessioned	2018-07-20T15:10:23Z	-
dc.date.available	2018-07-20T15:10:23Z	-
dc.date.issued	2016	en_US
dc.identifier.citation	Marques, Fernando C, Neves, André. (2016). Morse index and multiplicity of min-max minimal hypersurfaces. Cambridge Journal of Mathematics, 4 (4), 463 - 511. doi:10.4310/CJM.2016.v4.n4.a2	en_US
dc.identifier.issn	2168-0930	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1kt13	-
dc.description.abstract	The Min-max Theory for the area functional, started by Almgren in the early 1960s and greatly improved by Pitts in 1981, was left incomplete because it gave no Morse index estimate for the minmax minimal hypersurface. We advance the theory further and prove the first general Morse index bounds for minimal hypersurfaces produced by it. We also settle the multiplicity problem for the classical case of one-parameter sweepouts.	en_US
dc.format.extent	463 - 511	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	Cambridge Journal of Mathematics	en_US
dc.rights	Author's manuscript	en_US
dc.title	Morse index and multiplicity of min-max minimal hypersurfaces	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.4310/CJM.2016.v4.n4.a2	-
dc.date.eissued	2016	en_US
dc.identifier.eissn	2168-0949	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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