Recent developments in δ -Casorati curvature invariants

Abstract

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.