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The theory of δ-invariants, initiated by the author in the early 1990s, is a challenging topic in modern differential geometry, having a lot of applications. In the spirit of δ-invariants, Decu et al. (2007) initiated the study of δ-Casorati curvatures. Since then there are many interesting results on δ-Casorati curvatures obtained by many authors. In this article we provide a comprehensive survey on recent developments in δ-Casorati curvatures done during the last decade.
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Bang‐Yen Chen (2021) studied this question.
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