Some Basic Inequalities on (<em>ϵ</em>)-Para Sasakian Manifold

oleh: Majid Ali Choudhary, Mohammad Nazrul Islam Khan, Mohd Danish Siddiqi

Format: Article
Diterbitkan: MDPI AG 2022-12-01

Deskripsi

We propose fundamental inequalities for contact pseudo-slant submanifolds of <inline-formula><math display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>ϵ</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-para Sasakian space form employing generalized normalized <inline-formula><math display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications. Further, we have considered a certain type of submanifold for a Ricci soliton and after computing its scalar curvature, developed an inequality to find correlations between intrinsic or extrinsic invariants.