α-Sasakian 3-Metric as a Ricci Soliton
We prove that if the metric of a 3-dimensional α-Sasakian manifold is a Ricci soliton, then it is either of constant curvature or of constant scalar curvature. We also establish some properties of the potential vector field U of the Ricci soliton. Finally, we give an example of an α-Sasakian 3-metri...
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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
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| Series: | Український математичний журнал |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | α-Sasakian 3-Metric as a Ricci Soliton / S. Kundu // Український математичний журнал. — 2013. — Т. 65, № 6. — С. 850–856. — Бібліогр.: 10 назв. — англ. |