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

Access to Document

10.1007/s40863-019-00159-y

Cite this

@article{f42dfc9f0da447e79b26cd636a5ed32f,

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)",

volume = "15",

pages = "268--279",

journal = "Sao Paulo Journal of Mathematical Sciences",

issn = "1982-6907",

publisher = "Springer International Publishing AG",

number = "1",

}

TY - JOUR

T1 - Morse theory for the area functional

AU - Marques, Fernando C.

AU - Neves, André

PY - 2021/6

Y1 - 2021/6

N2 - In this article we will discuss a Morse-theoretic existence result of closed minimal hypersurfaces based on the notion of volume spectrum.

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

UR - http://www.scopus.com/inward/record.url?scp=85076612094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85076612094&partnerID=8YFLogxK

U2 - 10.1007/s40863-019-00159-y

DO - 10.1007/s40863-019-00159-y

M3 - Article

AN - SCOPUS:85076612094

SN - 1982-6907

VL - 15

SP - 268

EP - 279

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

IS - 1

ER -

Morse theory for the area functional

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this