Abstract
The present paper deals with the study of a D -homothetic deformation of an extended generalized ϕ -recurrent ( LCS ) 2 n +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.

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