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Hypersurfaces with Parallel Ricci Tensor in Spaces of Constant Curvature

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Abstract

Hypersurfaces with parallel Ricci tensor in spaces of constant curvature are classified. The main tool is a generalization of Moore’s decomposition theorem for isometric immersions.

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References

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Authors and Affiliations

  1. Mathematisches Institut der Universität zu Köln, Weyertal 86-90, D-50931, Köln, Germany

    Helmut Reckziegel

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  1. Helmut Reckziegel
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Correspondence to Helmut Reckziegel.

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Dedicated to Professor Katsumi Nomizu on the occasion of his 70th birthday

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Reckziegel, H. Hypersurfaces with Parallel Ricci Tensor in Spaces of Constant Curvature. Results. Math. 27, 113–116 (1995). https://doi.org/10.1007/BF03322275

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  • DOI: https://doi.org/10.1007/BF03322275

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