Geodesic
Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound
Canadian journal of mathematics, Tome 72 (2020) no. 1, pp. 243-280

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DOI

We study Riemannian manifolds with boundary under a lower weighted Ricci curvature bound. We consider a curvature condition in which the weighted Ricci curvature is bounded from below by the density function. Under the curvature condition and a suitable condition for the weighted mean curvature for the boundary, we obtain various comparison geometric results.
DOI : 10.4153/S0008414X1800007X
Mots-clés : Manifold with boundary, Weighted Ricci curvature 
Sakurai, Yohei. Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound. Canadian journal of mathematics, Tome 72 (2020) no. 1, pp. 243-280. doi: 10.4153/S0008414X1800007X
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     title = {Comparison {Geometry} of {Manifolds} with {Boundary} under a {Lower} {Weighted} {Ricci} {Curvature} {Bound}},
     journal = {Canadian journal of mathematics},
     pages = {243--280},
     year = {2020},
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     number = {1},
     doi = {10.4153/S0008414X1800007X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X1800007X/}
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