On the intrinsic statistical Ricci tensor on the null hypersurface

We investigate screen locally conformal null hypersurfaces with respect to statistical structures. We derive an expression for the induced statistical Ricci tensor associated with the induced metric on a null hypersurface of an indefinite statistical manifold. Furthermore, we establish several characterization theorems concerning the symmetry of the induced statistical Ricci tensor on the null hypersurface.

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Publication Details

Journal
Differential Geometry and its Applications
Published
2026-09-24
DOI
https://doi.org/10.1016/j.difgeo.2026.102447
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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On the intrinsic statistical Ricci tensor on the null hypersurface

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On the intrinsic statistical Ricci tensor on the null hypersurface

Varun Jain, Rachna Rani, Rakesh Kumar, Amrinder Pal Singh, Lucky Sharma
article en

Abstract

We investigate screen locally conformal null hypersurfaces with respect to statistical structures. We derive an expression for the induced statistical Ricci tensor associated with the induced metric on a null hypersurface of an indefinite statistical manifold. Furthermore, we establish several characterization theorems concerning the symmetry of the induced statistical Ricci tensor on the null hypersurface.

Differential Geometry and its ApplicationsVol. 105
Government of Haryana (IN), Punjabi University (IN)
Reduced inequalities
Openalex Percentile: Top 7%
Geometric Analysis and Curvature Flows
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