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Results tagged with riemannian-geometry
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user 97941
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
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sectional curvature with distance between two points
I am wondering if the following statement is true or not:
Let $ M $ be a complete Riemannian manifold with sectional curvature $ K $. Let $ \tilde{M} $ be the simply connected complete Riemannian man …
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comparison of eigenvalue of solution of Riccati equation
I'm trying to understand the lecture notes comparison theorems in Riemannian geometry of Eschenburg and have a problem about the proof of Rauch I. Let $E$ be an euclidean vector space and $S(E)$ the s …
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