Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces

Claude Lebrun

doi:10.3842/SIGMA.2023.027

Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces

Claude Lebrun

Mathematics

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

Abstract

The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein–Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian.

Original language	English
Article number	027
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	19
DOIs	https://doi.org/10.3842/SIGMA.2023.027
State	Published - 2023

Keywords

conformal structure
diffeomorphism invariant
scalar curvature
Yamabe problem

Access to Document

10.3842/SIGMA.2023.027

Cite this

@article{4ebe29f40dc7493e978a10c0fcef61e9,

title = "Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces",

abstract = "The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein–Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian.",

keywords = "conformal structure, diffeomorphism invariant, scalar curvature, Yamabe problem",

author = "Claude Lebrun",

year = "2023",

doi = "10.3842/SIGMA.2023.027",

language = "English",

volume = "19",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

}

TY - JOUR

T1 - Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces

AU - Lebrun, Claude

PY - 2023

Y1 - 2023

N2 - The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein–Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian.

AB - The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein–Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian.

KW - conformal structure

KW - diffeomorphism invariant

KW - scalar curvature

KW - Yamabe problem

UR - https://www.scopus.com/pages/publications/85161941200

U2 - 10.3842/SIGMA.2023.027

DO - 10.3842/SIGMA.2023.027

M3 - Article

AN - SCOPUS:85161941200

SN - 1815-0659

VL - 19

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 027

ER -

Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this