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Some properties of critical point equations metrics on the statistical manifolds

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The aim of this paper is to investigate some properties of the critical points equations on the statistical manifolds. We obtain some geometric equations on the statistical manifolds which admit critical point equations. We give a relation only between potential function and difference tensor for a CPE metric on the statistical manifolds to be Einstein.

Abstract

The aim of this paper is to investigate some properties of the critical points equations on the statistical manifolds. We obtain some geometric equations on the statistical manifolds which admit critical point equations. We give a relation only between potential function and difference tensor for a CPE metric on the statistical manifolds to be Einstein.

참고문헌 (12)

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  11. A. S. Santos, "Critical metrics of the scalar curvature functional satisfying a vanishing condition on the Weyl tensor", Arch. Math. (Basel), 109(1), pp.91~100 (2017)[DOI]
  12. M. A. Sedghi, "A note on critical point equations on threedimensional cosymplectic manifolds", Khayyam J. Math, 8(1), pp.1~6 (2022)

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