Some Notes on Berger Type Deformed Sasaki Metric in the Cotangent Bundle

Abstract

In the present paper, we study some notes on Berger type deformed Sasaki metric in the cotangent bundle T∗MT∗M over an anti-paraKähler manifold (M,φ,g)(M,φ,g). We characterize some geodesic properties for this metric. Next we also construct some almost anti-paraHermitian structures on T∗MT∗M and search conditions for these structures to be anti-paraKähler and quasi-anti-paraKähler with respect to the Berger type deformed Sasaki metric.