These notes contain a written version of a series of lectures on critical metrics on symplectic and contact manifolds delivered at the University of Lecce, 6-16 July 1990.
The content of these lectures is a study of Reimannian metrics which are critical points of various functionals defined on various spaces of metrics, especially those associated to a symplectic or contact structure and is based for the most part on some of the author's work and joint work in this area over the last few year.
Table Of Contents
| The classical integral functionals |
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David E.
Blair
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5-7 |
| Symplectic and contact manifolds |
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David E.
Blair
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7-10 |
| Integrals of scalar curvatures on sympletic and contact manifolds |
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David E.
Blair
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10-14 |
| Integrals of the Ricci curvature in the direction of the characteristic vector field |
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David E.
Blair
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14-17 |
| The Abbena-Thurston manifold as a critical point |
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David E.
Blair
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17-19 |
| Problems involving other integrands |
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David E.
Blair
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19-20 |
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