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Generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

We introduce the notion of generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric \({{Q^m}^*}={SO^0_{2,m}/SO_2 SO_m}\). We give a complete classification of real hypersurfaces in \({{Q^m}^*}={SO^0_{2,m}/SO_2 SO_m}\) with generalized Killing Ricci tensor.

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Acknowledgements

The authors would like to express hearty thanks to the reviewers for their careful reading of our manuscript. By their valuable comments, we have developed the first version of our paper. Moreover, we want to give our gratitude to the editorial office of RACSAM for their best efforts to publish our article.

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Authors and Affiliations

  1. Department of Applied Mathematics, Pukyong National University, Pusan, 48513, Republic of Korea

    Changhwa Woo

  2. Research Institute of Real and Complex Manifolds (RIRCM), Kyungpook National University, Daegu, 41566, Republic of Korea

    Hyunjin Lee

  3. Department of Mathematics and RIRCM, Kyungpook National University, Daegu, 41566, Republic of Korea

    Young Jin Suh

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  1. Changhwa Woo
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  2. Hyunjin Lee
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Correspondence to Young Jin Suh.

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Changhwa Woo was supported by Grant Proj. No. NRF-2020-R1A2C1A-01101518, and Hyunjin Lee by Grant Proj. No. NRF-2019-R1I1A1A-01050300, and Young Jin Suh by Grant Proj. No. NRF-2018-R1D1A1B-05040381 from National Research Foundation of Korea.

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Woo, C., Lee, H. & Suh, Y.J. Generalized Killing Ricci tensor for real hypersurfaces in the complex hyperbolic quadric. RACSAM 115, 117 (2021). https://doi.org/10.1007/s13398-021-01055-x

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