<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. This paper attempts to charectrize LP-Sasakian manifolds with <italic>ω</italic>(<italic>X</italic>, <italic>Y</italic>) · 𝒲 = <italic>L</italic>{(<italic>X</italic> ∧<italic><sub>ɡ</sub> Y</italic>) · 𝒲}. On the basis of this curvature conditions and by taking into account, the permutation of different curvature tensors we obtained and tabled the nature of the Ricci tensor for the respective pseudo symmetry type LP-Sasakian manifolds.</p></abstract>

Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. This paper attempts to charectrize LP-Sasakian manifolds with ω(X, Y) · 𝒲 = L{(X ∧ɡ Y) · 𝒲}. On the basis of this curvature conditions and by taking into account, the permutation of different curvature tensors we obtained and tabled the nature of the Ricci tensor for the respective pseudo symmetry type LP-Sasakian manifolds.

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

Department Of Mathematics, Kurseong College, Dowhill Road, Kurseong, Darjeeling-734203, West Bengal,

Department Of Mathematics, Shaktigarh Bidyapith (H.S), Siliguri, Darjeeling-734005, West Bengal,

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds"}

Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular...

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

Publié en ligne: 24 sept. 2016

Pages: 35 - 53

Reçu: 03 févr. 2016

Accepté: 14 juil. 2016

DOI: https://doi.org/10.1515/awutm-2016-0003

Mots clés
pseudo-symmetry type LP-Sasakian manifolds

© 2016 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

Publié en ligne: 24 sept. 2016

Pages: 35 - 53

Reçu: 03 févr. 2016

Accepté: 14 juil. 2016

DOI: https://doi.org/10.1515/awutm-2016-0003

Mots cléspseudo-symmetry type LP-Sasakian manifolds

© 2016 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
pseudo-symmetry type LP-Sasakian manifolds