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oai:riuma.uma.es:10630/264942026-02-03T11:31:49Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Lorente-Domínguez, María author Martín-Reyes, Francisco Javier author Rivera Ríos, Israel P. author 2022-12-20 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. 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/10630/26494 https://doi.org/10.1016/j.jmaa.2022.126943 Analisis Matematico Some quantitative one-sided weighted estimates