Morse theory for the area functional

Fernando C. Marques; André Neves

doi:10.1007/s40863-019-00159-y

Morse theory for the area functional

Fernando C. Marques, André Neves

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we will discuss a Morse-theoretic existence result of closed minimal hypersurfaces based on the notion of volume spectrum.

Original language	English (US)
Pages (from-to)	268-279
Number of pages	12
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s40863-019-00159-y
State	Published - Jun 2021

All Science Journal Classification (ASJC) codes

Mathematics(all)
Statistics, Probability and Uncertainty
Computational Theory and Mathematics

Keywords

Area functional
Geometric measure theory
Minimal surfaces
Morse theory
Volume spectrum

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10.1007/s40863-019-00159-y

Cite this

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title = "Morse theory for the area functional",

abstract = "In this article we will discuss a Morse-theoretic existence result of closed minimal hypersurfaces based on the notion of volume spectrum.",

keywords = "Area functional, Geometric measure theory, Minimal surfaces, Morse theory, Volume spectrum",

author = "Marques, {Fernando C.} and Andr{\'e} Neves",

note = "Publisher Copyright: {\textcopyright} 2019, Instituto de Matem{\'a}tica e Estat{\'i}stica da Universidade de S{\~a}o Paulo.",

year = "2021",

month = jun,

doi = "10.1007/s40863-019-00159-y",

language = "English (US)",

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journal = "Sao Paulo Journal of Mathematical Sciences",

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AU - Marques, Fernando C.

AU - Neves, André

PY - 2021/6

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AB - In this article we will discuss a Morse-theoretic existence result of closed minimal hypersurfaces based on the notion of volume spectrum.

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KW - Geometric measure theory

KW - Minimal surfaces

KW - Morse theory

KW - Volume spectrum

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M3 - Article

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EP - 279

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

SN - 1982-6907

IS - 1

ER -

Morse theory for the area functional

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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