A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold

Rajesh Kumar,Jagannath Chowdhury

Dergi: Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
Sayı: 2013 · Cilt: 8 - Sayı: 2
Sayfa: 190–194
DOI: —

Özet

Abstract: In the present note we have considered Mn to be a Riemannian manifold admitting a semi-symmetric recurrent metric connection. The aim of the present paper is to obtain the conditions under which the quasi-conformal curvature tensor and M-projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. Key words: Semi-symmetric recurrent metric connection, quasi-conformal curvature tensor, M-projective curvature tensor.

Abstract

In the present note we have considered recurrent metric connection. The aim of the present paper is to obtain the conditions under which the quasiconformal curvature tensor and -projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. to be a Riemannian manifold admitting a semi-symmetric

Anahtar kelimeler: : Semi-symmetric recurrent metric connection, quasi-conformal curvature tensor, �-projective curvature tensor