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

3 Scopus citations

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

General Mathematics
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",

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AU - Marques, Fernando C.

AU - Neves, André

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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.

KW - Area functional

KW - Geometric measure theory

KW - Minimal surfaces

KW - Morse theory

KW - Volume spectrum

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JO - Sao Paulo Journal of Mathematical Sciences

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Morse theory for the area functional

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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