|
Abstract
|
In this paper, we study statistical Cauchy-Riemannian maximal submanifolds in
the statistical Sasakian space form which naturally inherit their Sasakian structure
from the ambient. We show that there exists a Cauchy-Riemann maximal
submanifold in statistical Sasakian space form where the ψ-holomorphic sectional
curvature of the ambient space is bounded. Moreover, a Cauchy-Riemannian maximal
submanifold in the statistical Sasakian space form has at most four principal
curvatures under some properties of second fundamental form C and its dual.
|