Abstract
In 2017, C. W. Lee et al. derived optimal Casorati inequalities with normalized scalar curvature for statistical submanifolds of statistical manifolds of constant curvature. In this paper, we generalizes those inequalities. In fact, we obtain the bounds for the generalized normalized \(\delta \)-Casorati curvatures for statistical submanifolds in quaternion Kaehler-like statistical space forms.
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The authors would like to express their sincere gratitude to the referees for useful remarks, which definitely improved the manuscript.
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Aquib, M., Shahid, M.H. Generalized normalized \(\varvec{\delta }\)-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms. J. Geom. 109, 13 (2018). https://doi.org/10.1007/s00022-018-0418-2
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DOI: https://doi.org/10.1007/s00022-018-0418-2