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Submanifolds with constant Moebius curvature and flat normal bundle

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Abstract

We classify isometric immersions \(f:M^{n}\rightarrow \mathbb {R}^{n+p}\), \(n \ge 5\) and \(2p \le n\), with constant Moebius curvature and flat normal bundle.

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Acknowledgements

M. S. R. Antas was supported by FAPESP Grant 2019/04027-7. R. Tojeiro is partially supported by FAPESP Grant 2022/16097-2 and CNPq Grant 307016/2021-8.

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  1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Av. Trabalhador São Carlense 400, São Carlos, 13566-590, Brazil

    M. S. R. Antas & R. Tojeiro

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  1. M. S. R. Antas
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  2. R. Tojeiro
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Correspondence to R. Tojeiro.

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Antas, M.S.R., Tojeiro, R. Submanifolds with constant Moebius curvature and flat normal bundle. manuscripta math. (2024). https://doi.org/10.1007/s00229-024-01536-4

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