<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some results on -homothetic deformation of ()-manifolds

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...

Some results on D-homothetic deformation of (LCS)_2n+1-manifolds

Pubblicato online: 24 giu 2019

Pagine: 113 - 128

Ricevuto: 13 feb 2019

Accettato: 26 apr 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00012

Parole chiave
Generalized recurrent ()-manifolds, extended generalized -recurrent ()-manifolds, concircular curvature tensor, -sectional curvature and -homothetic deformation

© 2019 Sunil Kumar Yadav, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Pubblicato online: 24 giu 2019

Pagine: 113 - 128

Ricevuto: 13 feb 2019

Accettato: 26 apr 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00012

Parole chiaveGeneralized recurrent ()-manifolds, extended generalized -recurrent ()-manifolds, concircular curvature tensor, -sectional curvature and -homothetic deformation

© 2019 Sunil Kumar Yadav, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some results on D-homothetic deformation of (LCS)_2n+1-manifolds

Parole chiave
Generalized recurrent ()-manifolds, extended generalized -recurrent ()-manifolds, concircular curvature tensor, -sectional curvature and -homothetic deformation