Abstract
The conformal geometry of submanifolds in a constant curvature space was well studied in the past 15 years. The first part of this paper presents the system of complete conformal invariants of submanifolds in a general Riemannian space, and the second part presents several conformal rigidity theorems on compact Willmore hypersurfaces. In particular, the conformal class of Willmore tori is characterized using a conformal invariant.
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Acknowledgements
The authors would like to thank the referees for helpful suggestions. H. Li was supported by Project Numbers 11161056 and 11531012 of NSFC.
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Guo, Z., Li, H. Conformal Invariants of Submanifolds in a Riemannian Space and Conformal Rigidity Theorems on Willmore Hypersurfaces. J Geom Anal 28, 2670–2691 (2018). https://doi.org/10.1007/s12220-017-9928-7
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DOI: https://doi.org/10.1007/s12220-017-9928-7