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- Q7296106 subject Q13296724.
- Q7296106 abstract "In Riemannian geometry, the Rauch comparison theorem, named after Harry Rauch who proved it in 1951, is a fundamental result which relates the sectional curvature of a Riemannian manifold to the rate at which geodesics spread apart. Intuitively, it states that for positive curvature, geodesics tend to converge, while for negative curvature, geodesics tend to spread. This theorem is formulated using Jacobi fields to measure the variation in geodesics.".
- Q7296106 wikiPageWikiLink Q13296724.
- Q7296106 wikiPageWikiLink Q15456325.
- Q7296106 wikiPageWikiLink Q1586709.
- Q7296106 wikiPageWikiLink Q1677714.
- Q7296106 wikiPageWikiLink Q213488.
- Q7296106 wikiPageWikiLink Q5161158.
- Q7296106 wikiPageWikiLink Q632814.
- Q7296106 wikiPageWikiLink Q761383.
- Q7296106 wikiPageWikiLink Q7825061.
- Q7296106 wikiPageWikiLink Q855622.
- Q7296106 comment "In Riemannian geometry, the Rauch comparison theorem, named after Harry Rauch who proved it in 1951, is a fundamental result which relates the sectional curvature of a Riemannian manifold to the rate at which geodesics spread apart. Intuitively, it states that for positive curvature, geodesics tend to converge, while for negative curvature, geodesics tend to spread. This theorem is formulated using Jacobi fields to measure the variation in geodesics.".
- Q7296106 label "Rauch comparison theorem".