Abstract
We consider two quadratic forms on a class of manifolds conformally equivalent to the euclidean space. We give necessary and sufficient conditions for the equivalence of these quadratic forms in terms of a weighted Hardy inequality.
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The research was supported by the Chateaubriand Scholarship 2000–2001.
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Levin, D. A criterion for equivalence of quadratic forms on a special class of riemannian manifolds. Arch. Math 79, 515–519 (2002). https://doi.org/10.1007/BF02638389
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DOI: https://doi.org/10.1007/BF02638389