Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle

摘要

Let TM be the tangent bundle over an almost anti-paraHermitian manifoldendowed with Berger type deformed Sasaki metric gBS. In this paper,first, we obtain the Levi-Civita connection of this metric and study geodesicson TM. Secondly, we construct some almost anti-paraHermitian structureson TM and search conditions for these structures to be anti-paraK¨ahler andquasi-anti-paraK¨ahler. Finally, we present certain Riemannian curvatureproperties of (TM, gBS).