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)
Journal	Sao Paulo Journal of Mathematical Sciences
DOIs	https://doi.org/10.1007/s40863-019-00159-y
State	Accepted/In press - 2019

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

Access to Document

10.1007/s40863-019-00159-y

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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",

year = "2019",

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

language = "English (US)",

journal = "Sao Paulo Journal of Mathematical Sciences",

issn = "1982-6907",

publisher = "Springer International Publishing AG",

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AU - Marques, Fernando C.

AU - Neves, André

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KW - Geometric measure theory

KW - Minimal surfaces

KW - Morse theory

KW - Volume spectrum

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