Copy For Citation
ARSLAN K., Carriazo A., Martin-Molina V., MURATHAN C.
MONATSHEFTE FUR MATHEMATIK, vol.177, no.3, pp.331-344, 2015 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
177
Issue:
3
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Publication Date:
2015
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Doi Number:
10.1007/s00605-015-0762-3
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Journal Name:
MONATSHEFTE FUR MATHEMATIK
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.331-344
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Keywords:
(kappa, mu, nu)-contact metric manifold, Generalized (kappa, mu, nu)-space form, Contact metric manifold, D-a-homothetic deformation, Conformal flatness, (KAPPA, FORMS
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Bursa Uludag University Affiliated:
Yes
Abstract
We study the Riemann curvature tensor of -contact metric manifolds, which we prove to be completely determined in dimension 3. We also observe how this curvature tensor is affected by -homothetic deformations, which will prompt the definition and study of generalized -space forms and of the necessary and sufficient conditions for them to be conformally flat.