On the curvature of piecewise flat spaces

作者: Jeff Cheeger , Werner M�ller , Robert Schrader

DOI: 10.1007/BF01210729

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摘要: We consider analogs of the Lipschitz-Killing curvatures smooth Riemannian manifolds for piecewise flat spaces. In special case scalar curvature, definition is due to T. Regge; considerations in this spirit date back J. Steiner. show that if a space approximates suitable sense, then corresponding are close sense measures.

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