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Every conformal class contains a metric of bounded geometry

Müller, Olaf and Nardmann, Marc (2013) Every conformal class contains a metric of bounded geometry. Preprintreihe der Fakultät Mathematik 09/2013, Working Paper.

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:28907
Owner only: item control page

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