Dual geometry of Cartan distribution |
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Authors: | N. A. Kuz’mina |
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Affiliation: | (1) Chuvash State pedagogical University, ul. K. Marksa 38, Cheboksary, 428000, Russia |
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Abstract: | The paper is devoted to the study of intrinsic geometry of a Cartan distribution (mathcal{M}) in projective space P2m . We essentially use the hyperband distribution (mathcal{H}) and P2m associated with (mathcal{M}). Using the duality theory, we construct, in the 4th differential neighborhood, a series of normalizations of (mathcal{M}). We also consider dual affine connections (mathop nabla limits^1 ) and (mathop nabla limits^2 ) induced by the dual normalization of the Cartan distribution (mathcal{M}). |
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Keywords: | Cartan distribution dual normalization affine connection |
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