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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

Data publikacji: 24 cze 2019

Zakres stron: 113 - 128

Otrzymano: 13 lut 2019

Przyjęty: 26 kwi 2019

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

Słowa kluczowe
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

Data publikacji: 24 cze 2019

Zakres stron: 113 - 128

Otrzymano: 13 lut 2019

Przyjęty: 26 kwi 2019

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

Słowa kluczoweGeneralized 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

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