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Results tagged with non-positive-curvature
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user 313861
2
votes
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answer
155
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Parallel Jacobi fields in a Hadamard manifold
Let $M$ be a Hadamard manifold and let $c: \mathbb{R}\rightarrow M$ be a geodesic. A Jacobi field $Y$ along $c$ is called parallel if $Y'(t) = 0$ for every $t\in \mathbb{R}$. If we assume that $M$ is …
- 415
2
votes
1
answer
137
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Upper bound on volume growth of area minimizers
Let $M^n$ be a complete simply connected Riemannian manifold with $\operatorname{sec}_M \leq 0$ (i.e. a Hadamard manifold) and assume that there is a constant $a \geq 0$ such that $\operatorname{sec}_ …
- 415