Perelman's Entropy for Some Families of Canonical Metrics
نویسنده
چکیده
We numerically calculate Perelman’s entropy for a variety of canonical metrics on CP-bundles over products of Fano Kähler-Einstein manifolds. The metrics investigated are Einstein metrics, Kähler-Ricci solitons and quasi-Einstein metrics. The calculation of the entropy allows a rough picture of how the Ricci flow behaves on each of the manifolds in question.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 23 شماره
صفحات -
تاریخ انتشار 2014