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W-semisymmetric generalized Sasakian-space-forms

W-semisymmetric generalized Sasakian-space-forms AbstractWe set a definition of a (0,2){(0,2)}-type tensor on the generalized Sasakian-space-forms. The necessary and sufficient conditions for W-semisymmetric generalized Sasakian-space forms are studied. Certain results of the Ricci solitons, the Killing vector fields and the closed 1-form on the generalized Sasakian-space-forms are derived. We also verify our results by taking non-trivial examples of the generalized Sasakian-space-forms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

W-semisymmetric generalized Sasakian-space-forms

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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2018-0032
Publisher site
See Article on Publisher Site

Abstract

AbstractWe set a definition of a (0,2){(0,2)}-type tensor on the generalized Sasakian-space-forms. The necessary and sufficient conditions for W-semisymmetric generalized Sasakian-space forms are studied. Certain results of the Ricci solitons, the Killing vector fields and the closed 1-form on the generalized Sasakian-space-forms are derived. We also verify our results by taking non-trivial examples of the generalized Sasakian-space-forms.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Oct 1, 2019

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