Sasakian geometry, hypersurface singularities, and Einstein metrics - INSPIRE

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Sasakian geometry, hypersurface singularities, and Einstein metrics

May, 2004

30 pages

Part of Proceedings, 24th Winter School on Geometry and Physics : Srní, Czech Republic, Jan 17-24, 2004, 57-87

Published in:

Rend.Circ.Mat.Palermo S 75 (2005) 57-87

Contribution to:

24th Winter School on Geometry and Physics, 57-87

e-Print:

math/0405256 [math.DG]

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Abstract:

We review our study of Sasakian geometry as an agent for proving the existence of Einstein metrics on odd dimensional manifolds. Particular emphasis is given to the Sasakian structures occuring on links of isolated hypersurface singularities.

Note:

This is an expository article that grew out of notes for the three lectures the second author presented during the XXIV-th Winter School of {\i t Geometry and Physics} in Srni, Czech Republic, in January of 2004., 30 pages . Some new examples and references were added Subj-class: Differential Geometry: Algebraic Geometry MSC-class: 53C25 Journal-ref: Supplemento ai Rendiconti del Circolo Matematico di Palermo Serie II. Suppl 75 (2005), 57-87.

References(74)

Figures(0)

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On Sasakian-Einstein geometry

Charles P. Boyer
(
- New Mexico U.
)
,
Krzysztof Galicki
(
- New Mexico U.
)

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•
e-Print:
- math/9811098
•
DOI:
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New Einstein Metrics in Dimension Five

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Einstein metrics on rational homology spheres

Charles P. Boyer
(
- New Mexico U.
)
,
Krzysztof Galicki
(
- New Mexico U.
)

- J.Diff.Geom. 74 (2006) 3, 353-362
•
e-Print:
- math/0311355

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Einstein metrics on spheres

Charles P. Boyer
(
- New Mexico U.
)
,
Krzysztof Galicki
(
- New Mexico U.
)
,
Janos Kollar
(
- Princeton U., Math. Dept.
)

e-Print:
- math/0309408

Einstein metrics on exotic spheres in dimensions 7, 11 and 15

Charles P. Boyer
(
- New Mexico U.
)
,
Krzysztof Galicki
(
- New Mexico U.
)
,
Janos Kollar
(
- Princeton U., Math. Dept.
)
,
Evan Thomas
(
- Melbourne U.
)

e-Print:
- math/0311293

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On the geometry of Sasakian-Einstein 5 manifolds

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