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Bouclet, Jean-Marc

Normal form of the metric for a class of Riemannian manifolds with ends. (English) Zbl 1306.53009

Osaka J. Math. 51, No. 4, 993-1013 (2014).
The existence of geodesic normal coordinates at infinity is established on manifolds with ends. Based on this, decay properties related to the metric are derived.
Reviewer: Dumitru Motreanu (Perpignan)

MSC:

53B20 Local Riemannian geometry
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions

Keywords:

Riemannian metric; geodesic normal coordinates; manifolds with ends; decay rate
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\textit{J.-M. Bouclet}, Osaka J. Math. 51, No. 4, 993--1013 (2014; Zbl 1306.53009)
Full Text: arXiv Euclid

References:

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