The authors establish diameter and global weighted volume comparison theorems for manifolds with a positive spectral lower bound on the N-Bakry-Emery Ricci tensor.
Lecture Notes in Math., 1123, Springer-V erlag, Berlin, 1985
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Spectral comparison results for the $N$-Bakry-Emery Ricci tensor
The authors establish diameter and global weighted volume comparison theorems for manifolds with a positive spectral lower bound on the N-Bakry-Emery Ricci tensor.