Go to content
UR Home

Yamabe constants of collapsing Riemannian submersions

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

License: Publishing license for publications including print on demand
Download (870kB)
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 ...


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 ...


Export bibliographical data

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
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:34786
Owner only: item control page


Downloads per month over past year

  1. Homepage UR

University Library

Publication Server


Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons