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oai:riuma.uma.es:10630/264932026-02-03T11:25:20Zcom_10630_2254col_10630_37953

Statistical structures arising in null submanifolds Meli, Calvin B. Ngakeu, Ferdinand Olea-Andrades, Benjamín Subvariedades Matemáticas aplicadas We show a link between affine differential geometry and null submanifolds in a semi-Riemannian manifold via statistical structures. Once a rigging for a null submanifold is fixed, we can construct a semi-Riemannian metric on it. This metric and the induced connection constitute a statistical structure on the null submanifold in some cases. We study the statistical structures arising in this way. We also construct statistical structures on a null hypersurface in the Lorentz–Minkowski space using the null second fundamental form. This extends the classical construction to the null case. 2023-05-05T12:29:14Z 2023-05-05T12:29:14Z 2023-05-05 2022-12-22 journal article Meli, C. B., Ngakeu, F., & Olea, B. (2023). Statistical structures arising in null submanifolds. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 117(1), 48. https://hdl.handle.net/10630/26493 https://doi.org/10.1007/s13398-022-01381-8 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier