Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00208-002-0357-x
Title: Conformal energy in four dimension
Authors: Xu, X. 
Yang, P.C.
Issue Date: 2002
Citation: Xu, X., Yang, P.C. (2002). Conformal energy in four dimension. Mathematische Annalen 324 (4) : 731-742. ScholarBank@NUS Repository. https://doi.org/10.1007/s00208-002-0357-x
Abstract: The conformal energy for 4-manifolds using the Paneitz operator is introduced in this article. The conformal invariance of the energy functional allows us to find a sharp lower bound in terms of the conformal volume. We also demonstrate certain obstruction to existence of minimal immersions to spheres using the fourth order curvature invariance associated to the operator.
Source Title: Mathematische Annalen
URI: http://scholarbank.nus.edu.sg/handle/10635/103039
ISSN: 00255831
DOI: 10.1007/s00208-002-0357-x
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