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math.DG2010★ 1 cited
The energy of a smooth metric measure space and applications
Jeffrey S. Case
We introduce and study the notion of the energy of a smooth metric measure space, which includes as special cases the Yamabe constant and Perelman's -entropy. We then investigat…
math.DG2010
Smooth metric measure spaces and quasi-Einstein metrics
Jeffrey S. Case
Smooth metric measure spaces have been studied from the two different perspectives of Bakry-Émery and Chang-Gursky-Yang, both of which are closely related to work of Perelman on th…