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On para-complex structures of horizontal Sasaki gradient metric

On para-complex structures of horizontal Sasaki gradient metric

In the present paper, we consider the horizontal Sasaki gradient metric on the tangent bundle TM over an m-dimensional Riemannian manifold (M, g). We construct almost para-complex Norden structures on TM and investigate conditions for these structures to be para-Kahler. We finally study some properties of the horizontal Sasaki gradient …