Generalized Sasakian-space-forms with projective curvature tensor

• Autorzy: Sarkar A. , Akbar A.
• Języki publikacji: EN

Abstrakty

EN

The object of the present paper is to study φ-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally φ-symmetric generalized Sasakian-space-forms. All the obtained results are in the form of necessary and sufficient conditions. Interesting relations between projective curvature tensor and conformal curvature tensor of a generalized Sasakian-spaceform of dimension greater than three have been established. Some of these properties are also analyzed in the light of quarter-symmetric metric connection, in addition with the Levi-Civita connection. Obtained results are supported by illustrative examples.

Słowa kluczowe

EN

generalized Sasakian-space-forms; φ-projectively flat; projectively locally symmetric; projectively locally φ-semisymmetric; conformally flat

PL

rozpowszechnione formy przestrzenne Sasakiana; przekształcenia wierne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 3
• Strony: 725--737
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Sarkar A.

• Department of Mathematics University of Kalyani Kalyani 741235 Nadia, West Bengal, India

autor

Akbar A.

• Department of Mathematics University of Kalyani Kalyani 741235 Nadia, West Bengal, India

Bibliografia

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