Author： Li H.
Publisher： Springer Publishing Company
ISSN： 0232-704X
Source： Annals of Global Analysis and Geometry, Vol.21, Iss.2, 2002-04, pp. : 203-213
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Abstract
A surface x>: M → S^nis called a Willmore surface if it is a critic al surface of the Willmore functional. It is well known that any minimal surface is a Willmore surface and that many nonminimal Willmore surfaces exists. In this paper, we establish an integral inequality for compact Willmore surfaces in S^nand obtain a new characterization of the Veronese surface in S^4 as a Willmore surface. Our result reduces to a well-known result in the case of minimal surfaces.
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