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arxiv: 1002.4387 · v1 · submitted 2010-02-23 · 🧮 math.DG

Deformations of 2k-Einstein structures

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keywords spacedeformationsformsk-einsteinstructurescompactcorrespondingdimensional
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It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional at compact non-flat space forms. Moreover, spherical space forms are shown to be rigid in the sense that they are isolated in the corresponding moduli space.

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