On Quasi-Sasakian Manifolds

Abstract

In this paper we study three-dimensional quasi-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we study D-homothetic deformations on three-dimensional quasi-Sasakian manifolds admitting Schouten-van connection and projectively flat three-dimensional quasi-Sasakian manifolds admitting scv connection.

Keywords

• Quasi-Sasakian manifolds,Schouten-van Kampen connection,$% \mathcal{D}_{\alpha }$-homothetic deformation

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