Ricci curvature and conformality of Riemannian manifolds to spheres

DOI10.1515/APAM.2010.004zbMath1192.53044arXiv0710.2033OpenAlexW2962736561WikidataQ115236987 ScholiaQ115236987MaRDI QIDQ3564953

Salem Eljazi, Habiba Guemri, Najoua Gamara

Publication date: 27 May 2010

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2033

zbMATH Keywords

Ricci curvatureconformal diffeomorphismconformal LaplacianYamabe invariant

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Einstein spaces admitting a one-parameter group of conformal transformations
• Symétrisation d'inéquations elliptiques et applications géométriques. (Symmetrization of elliptic inequalities and geometric applications)
• Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov. (On an isoperimetric inequality which generalizes that of Paul Lévy-Gromov)
• On the conformal and CR automorphism groups
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Another proof of the Yamabe conjecture for locally conformally flat manifolds

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