Geodesic
Comparison Theory of Distance Spheres along Geodesics
Documenta mathematica, Tome 25 (2020), pp. 2241-2302
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Estimates for the principal curvature of distance spheres in Riemannian manifolds with sectional curvature bounded from below are well known. The same holds for the mean curvature of distance spheres in Riemannian manifolds with Ricci curvature bounded from below.
DOI : 10.4171/dm/798
Classification : 53B20, 53B21, 53C21
Mots-clés : convexity, Riemannian geometry, comparison theorems, Ricci curvature, distance function, conjugate radius, focal radius, Jacobi field 
@article{10_4171_dm_798,
     author = {Reinhard Brocks},
     title = {Comparison {Theory} of {Distance} {Spheres} along {Geodesics}},
     journal = {Documenta mathematica},
     pages = {2241--2302},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/798},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/798/}
}
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Reinhard Brocks. Comparison Theory of Distance Spheres along Geodesics. Documenta mathematica, Tome 25 (2020), pp. 2241-2302. doi: 10.4171/dm/798

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