Article ID Journal Published Year Pages File Type
1894628 Journal of Geometry and Physics 2015 7 Pages PDF
Abstract

In this paper, we classify the isometric immersions of generalized Berger spheres (S3,gGB)(S3,gGB) in S4(1)S4(1) and CP2(4)CP2(4) (under proper assumption in the latter case) and show the explicit expressions of gGBgGB. As an application, we obtain infinitely many generalized Berger spheres admitting conformal immersions in R4R4, which is closely related to a question of Peng and Tang (2010).

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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