On conformal transformation in an almost Kaehlerian and Kaehlerian spaces

Abstract

Yano (1952), studied on harmonic and killing vector fields. Lichnerowicz (1958) studied Geometric des groups de transformations. Tachibana (1959) studied and defined almost analytic vectors in almost Kaehlerian manifolds. Further, Goldberg (1960) studied conformal transformations of Kaehlerian manifolds. Rawat (2002) studied and defined Geometry of the locally product almost Tachibana space. Rawat and Silswal (2009) studied theory of Lie-derivatives and motions in Tachibana spaces. Rawat and Prasad (2009) studied on Lie- derivatives of scalars, vector and tensors. Rawat and Dobhal (2009) studied on bi- recurrent and bi- symmetric Kaehlerian manifolds. In the present paper, we have studied on Conformal Transformation in an almost Kaehlerian and Kaehlerian spaces; also several theorems have been established and proved within.