Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 37
2004-03 発行

Isotropic immersions with low codimension of space forms into space forms

Boumuki, Nobutaka
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Description
It is known that all parallel immersions of space forms into space forms are isotropic in the sense of O’Neill. We characterize these parallel immersions with low codimension in terms of isotropic immersions. This is an improvement of S. Maeda’s result [M].