Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-2009-8
Keywords
$\delta$-invariant, Chen invariant, $\delta$-Casorati curvatures, Chen ideal submanifold, Casorati ideal submanifold, optimal inequality
First Page
1
Last Page
46
Recommended Citation
CHEN, B (2021). Recent developments in $\delta$-Casorati curvature invariants. Turkish Journal of Mathematics 45 (1): 1-46. https://doi.org/10.3906/mat-2009-8
