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Every conformal class contains a metric of bounded geometry

URN to cite this document:
urn:nbn:de:bvb:355-epub-289078
DOI to cite this document:
10.5283/epub.28907
Müller, Olaf ; Nardmann, Marc
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Date of publication of this fulltext: 14 Oct 2013 08:27

Abstract

We show that on every manifold, every conformal class of semi-Riemannian metrics contains a metric g such that each kth-order covariant derivative of the Riemann tensor of g has bounded absolute value ak . This result is new also in the Riemannian case, where one can arrange in addition that g is complete with injectivity and convexity radius ¸ 1. One can even make the radii rapidly ...

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