Normal coordinate systems from a viewpoint of real analysis

DOI10.2748/tmj/1178207754zbMath1004.53028OpenAlexW2080116712MaRDI QIDQ5932147

Norio Shimakura

Publication date: 5 February 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207754

zbMATH Keywords

curvature tensorLevi-Cività connectionnormal coordinatesparallel transportuniqueness of metric

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20) Degenerate hyperbolic equations (35L80)

Cites Work

• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On eigen-values of Laplacian and curvature of Riemannian manifold
• Spinorkalkül und Normalkoordinaten
• Riemannian Metrics with the Prescribed Curvature Tensor and all Its Covariant Derivatives at One Point
• Cauchy problems with characteristic initial hypersurface
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