Casorati curvatures of pointwise slant submanifolds in para-complex space forms

Key Points

• Pointwise slant and semi-slant submanifolds are defined within the context of para-Kaehler manifolds, providing fundamental insights into their properties.
• Characterizations and theorems regarding Casorati curvature are established, focusing particularly on pointwise slant submanifolds.
• The research offers concrete examples and results that illustrate the behavior of Casorati curvature in the setting of para-complex space forms.
• Understanding these submanifolds may have implications in advanced geometry, expanding the theoretical framework of para-Kaehler manifolds.