✦ LIBER ✦

2-Type surfaces inS3

✍ Scribed by Manuel Barros; Oscar J. Garay

Publisher: Springer
Year: 1987
Tongue: English
Weight: 304 KB
Volume: 24
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181605

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✦ Synopsis

It is proved that the Riemannian product of two plane circles of different radii are the only compact surfaces of the 3-spheres in R 4 which can be constructed in R ' ~ by using eigenfunctions associated with two different eigenvalues of their corresponding Laplacians.

📜 SIMILAR VOLUMES

There exist no 2-type surfaces inE3which

There exist no 2-type surfaces inE3which are images under stereographic projection of minimal surfaces inS3

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In this paper we deal with the following particular case of a weaker conjecture by B.Y. Chen: Are there 2-type Willmore surfaces in E 3 ? In particular we prove that the above question has a negative answer when the surface is the image under stereographic projection of a minimal surface in S 3 .

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