Some results on D-homothetic deformation of (LCS)2n+1-manifolds

Abstract

The present paper deals with the study of a D-homothetic deformation of an extended generalized ϕ-recurrent (LCS)2n+1-manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ-recurrent (LCS)3-manifolds that are neither ϕ-recurrent nor generalized ϕ-recurrent under such deformation is constructed.

Keywords

• generalized recurrent (lcs)2n+1-manifolds
• extended generalized ϕ-recurrent (lcs)2n+1-manifolds
• concircular curvature tensor
• ϕ-sectional curvature and d-homothetic deformation
• 53c10
• 53c25
• 53c40