Department of Mathematics, University of Zanjan, Zanjan, Iran
10.22080/cjms.2026.31285.1820
Abstract
In this paper, we investigate the geometry of 3-Sasakian and 3-cosymplectic statistical manifolds. We establish fundamental characterizations of these structures and investigate their curvature properties with respect to the statistical connection. Our principal results show that 3-Sasakian statistical manifolds admit an Einstein metric if and only if certain curvature and deformation tensor conditions hold, while 3-cosymplectic statistical manifolds are necessarily Ricci-flat. We construct an explicit flat example on \(\mathbb{R}^{4n+3}\) which is new and illustrates the latter result, discussing potential implications in geometric physics and information theory.
NajdGhorbani, S. , & Kazemi Balgeshir, M. B. (2026). A Novel Approach to Characterizing The Einstein Condition on 3-Structure Statistical Manifolds. Caspian Journal of Mathematical Sciences, (), -. doi: 10.22080/cjms.2026.31285.1820
MLA
Soheil NajdGhorbani; Mohammad Bagher Kazemi Balgeshir. "A Novel Approach to Characterizing The Einstein Condition on 3-Structure Statistical Manifolds", Caspian Journal of Mathematical Sciences, , , 2026, -. doi: 10.22080/cjms.2026.31285.1820
HARVARD
NajdGhorbani, S., Kazemi Balgeshir, M. B. (2026). 'A Novel Approach to Characterizing The Einstein Condition on 3-Structure Statistical Manifolds', Caspian Journal of Mathematical Sciences, (), pp. -. doi: 10.22080/cjms.2026.31285.1820
CHICAGO
S. NajdGhorbani and M. B. Kazemi Balgeshir, "A Novel Approach to Characterizing The Einstein Condition on 3-Structure Statistical Manifolds," Caspian Journal of Mathematical Sciences, (2026): -, doi: 10.22080/cjms.2026.31285.1820
VANCOUVER
NajdGhorbani, S., Kazemi Balgeshir, M. B. A Novel Approach to Characterizing The Einstein Condition on 3-Structure Statistical Manifolds. Caspian Journal of Mathematical Sciences, 2026; (): -. doi: 10.22080/cjms.2026.31285.1820
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