Optimal Casorati Inequalities for Pointwise SlantRiemannian Maps
Year: 2026
Type: article
Abstract: We establish optimal Casorati inequalities for pointwise slant Riemannian maps from Riemannian manifolds into generalized complex space forms and generalized Sasakian space forms. The resulting bounds relate the normalized horizontal scalar curvature to the normalized Casorati curvatures and the ambient constants, with an explicit dependence on the slant angle θ. For a map of rank r≥3 into a generalized complex space form M(c1,c2), the bound reads ρH≤δCH(r−1)+c1+3c2r−1cos2θ. We also characterize totally geodesic pointwise slant Riemannian maps via simultaneous equality in both inequalities. As applications, sharp non-existence obstructions are obtained for totally geodesic pointwise slant proper Riemannian maps from flat Euclidean space into standard Sasakian and Kenmotsu space forms.
Source: Mathematics
DOI: 10.3390/math14173041
Authors: Tanveer Fatima, Ibrahim Al-Dayel
Institutions: Taibah University, Imam Mohammad ibn Saud Islamic University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7204089612