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Some Hardy and Rellich type inequalities for affine connections
Published 2 Feb 2024 in math.AP | (2402.01101v1)
Abstract: In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the improved Hardy inequality, the Rellich inequality, the Hardy-Poincar\'{e} inequality and the Heisenberg-Pauli-Weyl inequality. Our results improve and include many previously known results as special cases.
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