Critical points of the determinant of the Laplace operator
The determinant of the Laplace operator, det $\Delta$, is a function on the set of metrics on a compact manifold. Generalizing the work of Osgood, Phillips, and Sarnak on surfaces, we consider one-parameter variations of metrics of fixed volume in the conformal class of a given metric. By calculatin...
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Format: | Others |
Language: | English |
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2009
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Online Access: | http://hdl.handle.net/1911/16660 |