A conformal characterization of manifolds of constant sectional curvature

DOI10.1007/s00013-020-01542-4zbMath1460.53038arXiv2005.01260OpenAlexW3097140714MaRDI QIDQ2657489

Frederico Xavier, Xiaoyang Chen, Francisco Fontenele

Publication date: 12 March 2021

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

Full work available at URL: https://arxiv.org/abs/2005.01260

zbMATH Keywords

rigidityconstant sectional curvatureconformal Morse germ

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Local dynamics of conformal vector fields
• Essential conformal fields in pseudo-Riemannian geometry
• Characterization of manifolds of constant curvature by spherical curves
• A note on Obata's rigidity theorem
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Differential Topology
• An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings

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