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Jialong Deng's user avatar
Jialong Deng's user avatar
Jialong Deng
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Recovering the length metric from Hausdorff measure
@ Moishe: Does it mean that a 1-Lipschitz map between Riemannian $n$-manifolds is an isometric map by the argument?
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Recovering the length metric from Hausdorff measure
Why one have $f_*H^n_X(B_r ∖f_r(B_r))=0$, if $f$ is a covering map or $f$ is not injective at that point ?
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Recovering the length metric from Hausdorff measure
added 243 characters in body
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Recovering the length metric from Hausdorff measure
en.wikipedia.org/wiki/Intrinsic_metric
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Recovering the length metric from Hausdorff measure
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 Yearling
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 Caucus
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The product of two Hausdorff measures
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The product of two Hausdorff measures
Does the equation hold, if $Y$ is a smooth Riemannian manifold and $X$ is a compact metric space?
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The product of two Hausdorff measures
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 Disciplined
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The properties of total variation metric
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The properties of total variation metric
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 Teacher
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Can we realize the smooth metric of an Alexandrov space with nonnegative curvature by a Riemannian structure?
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Does positive scalar curvature imply vanishing of the simplicial volume on a closed Riemannian manifold?
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Non-positive sectional curvature in 3-dimensional manifold
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Can a topological manifold have different tangent bundles?
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 Yearling
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 Scholar