Generalized Sasakian-Space-Forms with Projective Curvature Tensor

A. Sarkar; Ali Akbar

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Generalized Sasakian-Space-Forms with Projective Curvature Tensor

机译：Generalized Sasakian-Space-Forms with Projective Curvature Tensor

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摘要

The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-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.

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来源
《Demonstratio Mathematica》 |2014年第3期|725-737|共13页
作者
A. Sarkar; Ali Akbar;
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DEPARTMENT OF MATHEMATICS UNIVERSITY OF KALYANI KALYANI 741235 NADIA;

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正文语种英语
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and phrases generalized Sasakian-space-forms; Ф-projectively flat; projectively locally symmetric; projectively locally -semisymmetric; conformally flat;

Generalized Sasakian-Space-Forms with Projective Curvature Tensor

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