Besse conjecture for compact manifolds with pinched curvature

DOI10.1007/s00013-020-01463-2zbMath1447.53041OpenAlexW3014255157WikidataQ123277800 ScholiaQ123277800MaRDI QIDQ777086

Halyson I. Baltazar

Publication date: 3 July 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01463-2

zbMATH Keywords

Einstein manifoldWeyl tensorcritical point equationtotal scalar curvature functionalBesse conjecture

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Rigidity of compact almost Ricci solitons and applications of Pohozaev-Schoen identity ⋮ Critical metrics of the volume functional with pinched curvature ⋮ On the interplay between CPE metrics, vacuum static spaces and \(\sigma_2\)-singular spaces

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