Foundations of a nonlinear distributional geometry
作者： Roland Steinbauer , Michael Kunzinger
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摘要: Co lombeau's construction of generalized functions (in its special variant) is extended to a theory sections vector bundles. As particular cases, tensor analysis and exterior algebra are studied. A point value characterization for on manifolds derived, several algebraic characterizations spaces established consistency properties with respect linear distributional geometry derived. An application nonsmooth mechanics indicates the additional flexibility offered by this approach compared purely picture.
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harvard.edu参考文章(8)
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