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A Kind of integral Representation on Riemannian Manifods

A Kind of integral Representation on Riemannian Manifods
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摘要 We generalized the Bochner-Martinelli integral representation to that on Riemannian manifolds. Things become quite different in such case. First we define a kind of Newtonian potential and take the interior product of its gradient to be the integral kernel. Then we prove that this kernel is harmonic in some sense. At last an integral representative theorem is proved. We generalized the Bochner-Martinelli integral representation to that on Riemannian manifolds. Things become quite different in such case. First we define a kind of Newtonian potential and take the interior product of its gradient to be the integral kernel. Then we prove that this kernel is harmonic in some sense. At last an integral representative theorem is proved.
出处 《Wuhan University Journal of Natural Sciences》 CAS 1996年第1期14-16,共3页 武汉大学学报(自然科学英文版)
关键词 Riemannian manifold integral representation Newtonian potential Riemannian manifold, integral representation, Newtonian potential
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