On the variation of a metric and its application

DOI10.1007/S10114-010-7470-7zbMath1201.53045OpenAlexW2401276802MaRDI QIDQ601936

Fa En Wu

Publication date: 29 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7470-7

zbMATH Keywords

space formheat invariantRiemannian functionalvariation of a metricvolume variation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Critical metrics (58E11)

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Cites Work

• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• On Einstein metrics
• \(r\)-minimal submanifolds in space forms
• Curvature and the eigenforms of the Laplace operator
• The Variation of the De Rham Zeta Function
• A new variational characterization of 𝑛-dimensional space forms
• A new variational characterization of three-dimensional space forms
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