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Results tagged with big-list
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user 25511
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
15
votes
Examples of common false beliefs in mathematics
" Every open dense subset of $\mathbb{R}^n$ has full Lebesgue measure. "
8
votes
Results true in a dimension and false for higher dimensions
Compact manifolds in dimension $2$ and $3$ which carry a metric of negative sectional curvature also carry an hyperbolic structure.
False in dimensions $\geq 4$, where counterexamples have been foun …
12
votes
2
answers
2k
views
Negative sectional curvature and constant curvature
Good morning everyone,
I was wondering about the difference between manifolds carrying a Riemannian metric with negative sectional curvature and hyperbolic manifolds. I was told once "there are very f …