Deformations of 2k-Einstein structures |
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| Authors: | Levi Lopes de Lima,Newton Luí s Santos |
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| Affiliation: | 1. Federal University of Ceará, Department of Mathematics, Campus do Pici, R. Humberto Monte, s/n, 60455-760, Fortaleza/CE, Brazil;2. Federal University of Piauí, Department of Mathematics, Campus Petronio Portela, Ininga, 64049-550 Teresina/PI, Brazil |
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| Abstract: | ![]()
It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional on 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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| Keywords: | primary, 53C25 secondary, 58J05 |
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