Ambient Dirac eigenvalue estimates and the Willmore functional
by
Bernd Ammann

Ambient Dirac eigenvalue estimates and the Willmore functional (.dvi, .ps,.ps.gz oder .pdf)
in: "Dirac operators: Yesterday and Today".
Proceedings of the Summer School and Workshop, at CAMS-AUB-Lebanon, 2001.
International Press 2005.
Editors: Bourguignon, Branson, Chamseddine, Hijazi, Stanton.
Pages 221-228.

Abstract

We prove a lower bound for the Willmore functional with the help spinors and the Dirac operator. As a corollary we verify the Willmore conjecture in a certain region of the spin-conformal moduli space for tori with sufficiently small $L^p$-norms of the Gauss curvature.

Mathematics Subject Classification

53C27, 53C42 (Primary)

Keywords

Dirac eigenvalue estimates, Willmore inequality, conformal immersions
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Bernd Ammann,
The Paper was written on 15.1.2002
Last update 14.1.2002