Journal article
On a conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
Calculus of Variations and Partial Differential Equations, Vol.23(4), pp.469-496
08/2005
DOI: 10.1007/s00526-004-0311-8
Abstract
We establish a Gauss-Bonnet-Chern inequality for a class of complete locally conformally flat (LCF) manifolds. We also prove a finiteness theorem for a class of complete LCF four-folds with integrable Pfaffian curvature, extending the classical results of Cohn-Vossen and Huber in dimension two. This result can be viewed as a fully non-linear analogue of the Chang-Qing-Yang theorem in dimension four.
Details
- Title: Subtitle
- On a conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
- Creators
- Hao Fang - Courant Institute of Mathematical Sciences New York University NY 10012 New York USA
- Resource Type
- Journal article
- Publication Details
- Calculus of Variations and Partial Differential Equations, Vol.23(4), pp.469-496
- DOI
- 10.1007/s00526-004-0311-8
- ISSN
- 0944-2669
- eISSN
- 1432-0835
- Publisher
- Springer-Verlag; Berlin/Heidelberg
- Language
- English
- Date published
- 08/2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985803102771
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