Sasakian Manifolds with Perfect Fundamental Groups
Autor: | Boyer, C. P., Tønnesen-Friedman, C. W. |
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Jazyk: | angličtina |
Rok vydání: | 2012 |
Předmět: | |
Zdroj: | Afr. Diaspora J. Math. (N.S.) 14, no. 2 (2012), 98-117 |
Popis: | Using the Sasakian join construction with homology 3-spheres, we give a countably infinite number of examples of Sasakian manifolds with perfect fundamental group in all odd dimensions $\geq 3$. These have extremal Sasaki metrics with constant scalar curvature. Moreover, we present further examples of both Sasaki-Einstein and Sasaki$\eta$Einstein metrics. |
Databáze: | OpenAIRE |
Externí odkaz: |
Abstrakt: | Using the Sasakian join construction with homology 3-spheres, we give a countably infinite number of examples of Sasakian manifolds with perfect fundamental group in all odd dimensions $\geq 3$. These have extremal Sasaki metrics with constant scalar curvature. Moreover, we present further examples of both Sasaki-Einstein and Sasaki$\eta$Einstein metrics. |
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