Go to content
UR Home

Square-integrability of solutions of the Yamabe equation

Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2011) Square-integrability of solutions of the Yamabe equation. Preprintreihe der Fakultät Mathematik 34/2011, Working Paper.

[img]
Preview
PDF
Download (435kB)

Abstract

We show that solutions of the Yamabe equation on certain n-
dimensional non-compact Riemannian manifolds which are bounded and Lp for
p = 2n=(n-2) are also L2. This Lp-L2-implication provides explicit constants
in the surgery-monotonicity formula for the smooth Yamabe invariant in our
article [1]. As an application we see that the smooth Yamabe invariant of any 2-
connected compact 7-dimensional manifold is at least 74:5. Similar conclusions
follow in dimension 8 and in dimensions � 11.


Export bibliographical data



Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Classification:
NotationType
35J60MSC
35P30MSC
57R65MSC
58J50MSC
58C40MSC
Keywords:Yamabe invariant, surgery, Lp-L2 implication
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
Deposited On:19 Dec 2011 10:07
Last Modified:13 Mar 2014 18:19
Item ID:23001
Owner Only: item control page

Downloads

Downloads per month over past year

  1. University

University Library

Publication Server

Contact person
Gernot Deinzer

Telefon 0941 943-2759
Contact