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On solitons in statistical geometry

Adara M. Blaga


We introduce the notion of Killing soliton and study its properties. For the particular cases when the g-dual vector field of ƞ is of Jacobi-type, torse-forming, conformal Killing and 2-Killing respectively, we obtain conditions that must be satisfied by the two functions that define the soliton. Moreover, we provide necessary and sufficient conditions for an almost ƞ-Ricci and almost ƞ-Einstein soliton to give rise to a statistical structure.


almost solitons, Killing tensor field, linear connections, statistical structure.

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