List questions from geometric-measure-theory

Published on 07 Jan 2020 - 5:27

151

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Isometry embedding

Published on 24 Mar 2026 - 18:39

135

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Question concerning the decomposition of the Total Variation Measure

Published on 25 Mar 2026 - 6:32

77

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How is the normal field for a 2-dimensional submanifold of $\mathbb R^3$ defined?

Published on 25 Mar 2026 - 12:19

124

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Formula for the solid angle subtended by a surface using the divergence theorem

Published on 25 Mar 2026 - 12:14

82

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If $π$ is the projection of a surface $M$ onto the 2-sphere $S^2$, then $σ_{S^2}(B)=\int_{π^{-1}(B)}σ_M(dy)\frac{|⟨ν_M(y),π(y)⟩|}{|y|^2}$

Published on 25 Mar 2026 - 12:17

134

Views

Why is a regular area-minimizing current necessarily an oriented manifold?

Published on 25 Mar 2026 - 8:06

225

Views

A nearest neighbor conditional probability problem

Published on 25 Jan 2020 - 9:25

94

Views

Application of Area Formula

Published on 25 Jan 2020 - 10:20

46

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Compact set of the plane with boundary of finite 1-Hausdrof meausre as intersection of open set with piewise smooth boundary.

Published on 25 Mar 2026 - 12:41

104

Views

Is a smooth surjective map between disks which is injective a.e. everywhere injective?

Published on 05 Feb 2020 - 12:52

51

Views

One-dimensional equivalent of area in 3 dimensions

Published on 06 Feb 2020 - 11:33

395

Views

Is it true that Lebesgue's differentiation theorem follows from Lebesgue's density theorem?

Published on 12 Feb 2020 - 0:42

126

Views

Uniform continuity in Lusin theorem

Published on 15 Feb 2020 - 19:19

190

Views

Does Hausdorff-measurability depend on the choice of Riemannian metric?

Published on 25 Mar 2026 - 12:41

List Question

Cones made by subspaces

Isometry embedding

Question concerning the decomposition of the Total Variation Measure

How is the normal field for a 2-dimensional submanifold of $\mathbb R^3$ defined?

Formula for the solid angle subtended by a surface using the divergence theorem

If $π$ is the projection of a surface $M$ onto the 2-sphere $S^2$, then $σ_{S^2}(B)=\int_{π^{-1}(B)}σ_M(dy)\frac{|⟨ν_M(y),π(y)⟩|}{|y|^2}$

Why is a regular area-minimizing current necessarily an oriented manifold?

A nearest neighbor conditional probability problem

Application of Area Formula

Compact set of the plane with boundary of finite 1-Hausdrof meausre as intersection of open set with piewise smooth boundary.

Is a smooth surjective map between disks which is injective a.e. everywhere injective?

One-dimensional equivalent of area in 3 dimensions

Is it true that Lebesgue's differentiation theorem follows from Lebesgue's density theorem?

Uniform continuity in Lusin theorem

Does Hausdorff-measurability depend on the choice of Riemannian metric?

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