JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (11): 105-110.doi: 10.6040/j.issn.1671-9352.0.2021.156

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A result on Kenmotsu statistical structures on a hyperbolic space

JIANG Yan, WU Feng, ZHANG Liang*   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, Anhui, China
  • Published:2021-11-15

Abstract: Hyperbolic space is a Riemannian manifold with constant negative sectional curvature. In particular, an odd-dimensional hyperbolic space H 2n+1 with sectional curvature -1 can be endowed with the classical Kenmotsu structure. In this paper, we prove that on H 2n+1 there exists no non-trivial Kenmotsu statistical structure with constant φ-curvature based on the classical Kenmotsu structure.

Key words: hyperbolic space, Kenmotsu statistical manifold, constant φ, -curvature

CLC Number: 

  • O186.12
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[1] WU Feng, ZHANG Liang. Some results on Sasakian statistical manifolds of constant φ -curvature [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(4): 86-93.
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