Isometric immersions of generalized Berger spheres in S4(1)S4(1) and CP2(4)CP2(4)

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).