75 citations · 263 across the 40 of their papers we have counts for
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math.DG2011
Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities
Jeffrey S. Case
We introduce a family of conformal invariants associated to a smooth metric measure space which generalize the relationship between the Yamabe constant and the best constant for th…
math.DG2011
Sharp metric obstructions for quasi-Einstein metrics
Jeffrey S. Case
Using the tractor calculus to study smooth metric measure spaces, we adapt results of Gover and Nurowski to give sharp metric obstructions to the existence of quasi-Einstein metric…
math.DG2011★ 19 cited
Smooth metric measure spaces, quasi-Einstein metrics, and tractors
Jeffrey S. Case
We introduce the tractor formalism from conformal geometry to the study of smooth metric measure spaces. In particular, this gives rise to a correspondence between quasi-Einstein m…