A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf
.
Bakry-Émery Ricci Curvature on Manifolds with Boundary
2021
A classic result in the field of Riemannian Geometry is the Splitting Theorem of Cheeger and Gromoll. Since this result there have been numerous alternate versions under a variety of different conditions. Continuing in this vein, we prove structure results on manifolds with boundary components under m-Bakry-Émery Ricci curvature bounds. First we look at a generalization of Frankel's theorem [9], extrapolating on the work of Peterson and Wilhelm [25]. We then prove some related corollaries that
doi:10.7939/r3-8x7g-g239
fatcat:wroxw23fcjeczbxchkygeneyae