Sasakian Manifolds with Perfect Fundamental Groups

Autor: Boyer, C. P., Tønnesen-Friedman, C. W.
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
Popis
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.