On the Roter Type of Generalised Wintgen Ideal Legendrian Submanifolds

Abstract

I. Mihai obtained an inequality relating intrinsic normalised scalar curvature and extrinsic squared mean curvature and normalised normal curvature of Legendrian submanifolds Mn in Sasakian space forms Me2n+1 (c). In this paper, for the class of generalised Wintgen ideal Legendrian submanifolds Mn of Sasakian space form Me2n+1 (c), we study relationship between some properties concerning their Deszcz symmetry and their Roter type.