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In Riemannian geometry, the Rauch comparison theorem, named after Harry Rauch, who proved it in 1951, is a fundamental result which relates the sectional...

theorem Myers's theorem Hessian comparison theorem Laplacian comparison theorem Morse–Schoenberg comparison theorem Berger comparison theorem, Rauch–Berger...

sectional curvature is bounded from above, a corollary to the Rauch comparison theorem yields an analogous statement, but with the reverse inequality...

(politics) Ratner's theorems (ergodic theory) Rauch comparison theorem (Riemannian geometry) Rédei's theorem (group theory) Reeb sphere theorem (foliations)...

Riemannian manifold. Conjugate points Geodesic deviation equation Rauch comparison theorem N-Jacobi field Manfredo Perdigão do Carmo. Riemannian geometry...

manifolds, Jacobi fields, the Morse index, the Rauch comparison theorems, and the Cartan–Hadamard theorem. Then it ascends to complex manifolds, Kähler...

as the sphere theorem for Riemannian manifolds. The Rauch comparison theorem is also named after Harry Rauch. He proved it in 1951. Rauch, H. E. (1951)...

Gauss–Bonnet theorem Hopf–Rinow theorem Cartan–Hadamard theorem Myers theorem Rauch comparison theorem Morse index theorem Synge theorem Weinstein theorem Toponogov...

as comparison spaces in studying geodesics and volume comparison theorems on CR manifolds with zero Webster torsion akin to the H.E. Rauch comparison theorem...

2307/2373064. JSTOR 2373064. Warner, F. W. (1966). "Extension of the Rauch Comparison Theorem to Submanifolds". Transactions of the American Mathematical Society...

1142/9789814327756_0004. ISBN 978-9814327756. S2CID 88518074. Bernhard Rauch; Max Göttsche; Gernot Brähler; Stefan Engel (August 2011). "Fact and Fiction...

44(2)::155-9, 2016; PMID 26697726 Veilleux LN, Robert M, Ballaz L, Lemay M, Rauch F: Gait analysis using a force-measuring gangway: Intrasession repeatability...

– director of communications Sam Seager – head of visual content Lauren Rauch – management coordinator Lauren Evans – physiotherapist Valeska Voiges –...

"Kalman Smoothing". There are several smoothing algorithms in common use. The Rauch–Tung–Striebel (RTS) smoother is an efficient two-pass algorithm for fixed...

Sheng-Kai; Cai, Wen-Qi; Handsteiner, Johannes; Liu, Bo; Yin, Juan; Zhang, Liang; Rauch, Dominik; Fink, Matthias; Ren, Ji-Gang; Liu, Wei-Yue; et al. (2018). "Satellite-Relayed...

S2CID 57361807. Giewont, Ken; Hu, Shuren; Peng, Bo; Rakowski, Michal; Rauch, Stewart; Rosenberg, Jessie C.; Sahin, Asli; Stobert, Ian; Stricker, Andy;...