NDLI: Willmore Surfaces in S n

Content Provider	Springer Nature Link
Author	Li, Haizhong
Copyright Year	2002
Abstract	A surface x> : M → S n is called a Willmore surface if it is a critical 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 n and 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.
Starting Page	203
Ending Page	213
Page Count	11
File Format	PDF
ISSN	0232704X
Journal	Annals of Global Analysis and Geometry
Volume Number	21
Issue Number	2
e-ISSN	15729060
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2002-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Group Theory and Generalizations Analysis Geometry Mathematical and Computational Physics Statistics for Business/Economics/Mathematical Finance/Insurance
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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Willmore Surfaces in S n