Tohoku Mathematical Journal
2008
September
SECOND SERIES VOL. 60, NO. 3

Tohoku Math. J.
60 (2008), 329-347

Title $n$-SASAKIAN MANIFOLDS

Dedicated to Professor Josef Dorfmeister and Jost-Hinrich Eschenburg
Author Owen Dearricott

(Received April 24, 2006, revised November 26, 2007)
Abstract. We define a new class of manifolds called $n$-Sasakian manifolds that enjoy remarkable geometric properties. We furnish examples of such manifolds and make links to the study of isoparametric hypersurfaces. We demonstrate that these examples carry Einstein metrics.

2000 Mathematics Subject Classification. Primary 53C40; Secondary 53C25.
Key words and phrases. CR submanifold, isoparametric hypersurface family, Einstein manifold.

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