On compact Riemannian manifolds admitting a certain function

DOI10.2996/kmj/1138036856zbMath0554.53031OpenAlexW2091300198WikidataQ115224640 ScholiaQ115224640MaRDI QIDQ760028

Kazuhiro Matsushita

Publication date: 1984

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036856

zbMATH Keywords

differentiable functionsObata's theoremcharacterizations of spheres

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Cites Work

• A topological version of Obata's sphere theorem
• Eigenfunctions and nodal sets
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Certain conditions for a Riemannian manifold to be isometric with a sphere
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