Mohanta, KaushikKaushikMohantaTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312024-01-0110.1080/17476933.2023.22479982-s2.0-85168621693https://d8.irins.org/handle/IITG2025/26482We study the following version of Hardy-type inequality on a domain Ω in a Riemannian manifold (Formula presented.) : (Formula presented.) We provide sufficient conditions on (Formula presented.) and V for which the above inequality holds. This generalizes earlier well-known works on Hardy inequalities on Riemannian manifolds. The functional setup covers a wide variety of particular cases, which are discussed briefly: for example, (Formula presented.) with p<N, (Formula presented.) with (Formula presented.), (Formula presented.), etc.truecritical case | Hardy inequality | manifold | reminder termArticlehttps://www.tandfonline.com/doi/pdf/10.1080/17476933.2023.2247998?needAccess=true&role=button174769411770-178120240arJournal0WOS:001053086100001