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PreprintCC BY 4.0HAL

Nearly Sasakian Statistical Immersions and Submersions: Structural Implications

  • Servais Cyr-Gatse
  • Stéphane Puechmorel
Open at sourcePDFCite

Abstract

We study nearly Sasakian statistical manifolds endowed with dual affine connections satisfying a gauge equation. We derive algebraic characterizations of the nearly Sasakian condition and examine their implications for statistical submanifolds and submersions. We also introduce an algebraic curvature tensor naturally associated with the induced product and establish a Bianchi-type identity for this tensor.

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Cite

BibTeXRIS
BibTeX
@misc{cyrgatse2026nearly,
  title = {{Nearly Sasakian Statistical Immersions and Submersions: Structural Implications}},
  author = {Servais Cyr-Gatse and Stéphane Puechmorel},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://enac.hal.science/hal-05790683v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nearly Sasakian Statistical Immersions and Submersions: Structural Implications
AU  - Servais Cyr-Gatse
AU  - Stéphane Puechmorel
PY  - 2026
DA  - 2026/10/10
PB  - HAL
UR  - https://enac.hal.science/hal-05790683v1
AB  - We study nearly Sasakian statistical manifolds endowed with dual affine connections satisfying a gauge equation. We derive algebraic characterizations of the nearly Sasakian condition and examine their implications for statistical submanifolds and submersions. We also introduce an algebraic curvature tensor naturally associated with the induced product and establish a Bianchi-type identity for this tensor.
ER  -