Real Algebraic and Analytic Geometry |

Curvature tensors of singular spaces.

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Submission: 2004, September 9.

*Abstract:
A sequence of tensor-valued measures of certain singular spaces
(e.g. subanalytic or convex sets) is constructed. The first three terms can be
interpreted as scalar curvature, Einstein tensor and (modified)
Riemann tensor. It is shown that these measures are independent of the
ambient space, i.e. they are intrinsic. In contrast to this, there exists
no intrinsic tensor-valued measure corresponding to the Ricci tensor.*

Mathematics Subject Classification (2000): 53C65, 32B20, 53C21.

Keywords and Phrases: Subanalytic sets, Einstein tensor, Riemann tensor.

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