The theory of $\delta$-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 $\delta$-invariants, Decu et al. (2007) initiated the study of $\delta$-Casorati curvatures. Since then there are many interesting results on $\delta$-Casorati curvatures obtained by many authors. In this article we provide a comprehensive survey on recent developments in $\delta$-Casorati curvatures done during the last decade.
$\delta$-invariant, Chen invariant, $\delta$-Casorati curvatures, Chen ideal submanifold, Casorati ideal submanifold, optimal inequality
"Recent developments in $\delta$-Casorati curvature invariants,"
Turkish Journal of Mathematics: Vol. 45:
1, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/1