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Abstract: this paper is to describe the geometry and topology of a class of Riemannian Einstein manifolds that is closely related to both hyperkahler and quaternionic Kahler manifolds. These manifolds, known as manifolds with a Sasakian 3-structure, first appeared in a paper by Kuo in 1970 [Ku] which was published a few years before Ishihara and Calabi introduced the now commonly accepted terms "quaternionic Kahler" and "hyperkahler", respectively. We shall refer to manifolds with a Sasakian 3-structure... (Update)
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BibTeX entry: (Update)
C. P. Boyer, K. Galicki and B. Mann, The geometry and topology of 3-Sasakian manifolds, J. reine angew. Math. 455 (1994) pp. 183-220. http://citeseer.ist.psu.edu/article/boyer94geometry.html More
@misc{ boyer94geometry,
author = "C. Boyer and K. Galicki and B. Mann",
title = "The geometry and topology of 3-Sasakian manifolds",
text = "C. P. Boyer, K. Galicki and B. Mann, The geometry and topology of 3-Sasakian
manifolds, J. reine angew. Math. 455 (1994) pp. 183-220.",
year = "1994",
url = "citeseer.ist.psu.edu/article/boyer94geometry.html" }
Citations (may not include all citations):113 Einstein manifolds (context) - Besse - 1987
37 Riemannian Foliations (context) - Molino - 1988
37 Hyperkahler metrics and supersymmetry (context) - Hitchin, Karlhede et al. - 1987
28 Quaternionic Kahler manifolds (context) - Salamon - 1982
26 Sur la cohomologie des espaces fibr'es principaux et des esp.. (context) - Borel - 1953
23 Quaternionic reduction and quaternionic orbifolds - Galicki, Lawson - 1988
19 Hyperkahler and quaternionic Kahler geometry (context) - Swann - 1991
17 Quaternionic reduction and Einstein manifolds - Boyer, Galicki et al. - 1993
14 The Gauss-Bonnet theorem for V-manifolds (context) - Satake - 1957
13 Strong rigidity of positive quaternion-Kahler manifolds (context) - Lebrun, Salamon - 1993
13 Complex homogeneous contact manifolds and quaternionic symme.. (context) - Wolf - 1965
12 New examples of manifolds with strictly positive curvature (context) - Eschenburg - 1982
11 A note on hyperhermitian four-manifolds (context) - Boyer - 1988
10 Quaternion Kahlerian manifolds (context) - Ishihara - 1974
10 Compact seven-dimensional manifolds with Killing spinors (context) - Friedrich, Kath - 1990
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