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Yamabe constants of collapsing Riemannian submersions

Streil, Manuel (2016) Yamabe constants of collapsing Riemannian submersions. PhD, Universität Regensburg.

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Date of publication of this fulltext: 02 Nov 2016 10:28

Abstract (English)

We consider a surjective Riemannian submersion between closed manifolds where the total space has dimension at least 3 and the scalar curvature of every fibre with respect to the induced metric is positive. After rescaling the metric on the base space by a factor r² and the metric on the horizontal subspaces accordingly we obtain again a Riemannian submersion. We prove that the limit of the ...

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Translation of the abstract (German)

Wir betrachten eine riemannsche Submersion zwischen kompakten Mannigfaltigkeiten ohne Rand, wobei wir annehmen, dass der Totalraum mindestens Dimension 3 hat und die Skalarkrümmung jeder Faser bezüglich der induzierten Metrik positiv ist. Nach Skalierung der Metrik auf der Basis mit einem Faktor r² und entsprechend auf den Horizontalräumen erhalten wir wieder eine riemannsche Submersion. Wir ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:2 November 2016
Referee:Prof. Dr. Bernd Ammann
Date of exam:20 October 2016
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Keywords:Yamabe-Konstanten, riemannsche Submersionen
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:34786
Owner only: item control page

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