List questions from grassmannian

Published on 12 Jun 2022 - 14:58

64

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What is the dimension of relative Grassmannian?

Published on 17 Jun 2022 - 11:34

117

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Why isn't the dimension of the space of curvature-like tensors equal to the dimension of the Grassmannian?

Published on 06 Jul 2022 - 17:48

213

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Cantor-like set in $\mathbb{R}^2$ is purely 1-unrectifiable

Published on 27 Mar 2026 - 16:22

95

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Subspaces of $\mathbb{R}^n$, related to Grassmannian

Published on 27 Jul 2022 - 10:35

36

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$\|P_X-P_Y\|_2=\|(1-P_Y)P_X\|_2$

Published on 28 Mar 2026 - 21:56

138

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Quotient $G/B$ of Lie group $G$ by Borel group $B$ contained in a Grassmannian

Published on 27 Sep 2022 - 20:58

214

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Grassmannian is embedded in projective space by Plücker map

Published on 28 Oct 2022 - 11:31

177

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smooth points on variety of linear subspaces intersecting a given subspace

Published on 25 Mar 2026 - 12:15

61

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Proving that $S\mapsto\text{Hom}(\bigwedge^2S,\mathbb R)$ defines a vector bundle over a Grassmanian.

Published on 06 Nov 2022 - 13:44

72

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Subvarieties of Schubert varieties over finite fields

Published on 25 Mar 2026 - 12:16

46

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Exterior algebra: property of signed area

Published on 20 Dec 2022 - 8:46

335

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Proving that the Grassmannian is a smooth manifold

Published on 26 Dec 2022 - 11:57

91

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Diffeomorphism between $SO(3)$ and $\mathbb{R}P^3$

Published on 25 Jan 2023 - 11:48

33

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An invariant that determines membership in an element of $Gr(2,\mathbb{C}^3)$

Published on 26 Jan 2023 - 16:07

List Question

Grassmannian $G(m,n)$ is locally Euclidean of dimension $m(n-m)$

What is the dimension of relative Grassmannian?

Why isn't the dimension of the space of curvature-like tensors equal to the dimension of the Grassmannian?

Cantor-like set in $\mathbb{R}^2$ is purely 1-unrectifiable

Subspaces of $\mathbb{R}^n$, related to Grassmannian

$\|P_X-P_Y\|_2=\|(1-P_Y)P_X\|_2$

Quotient $G/B$ of Lie group $G$ by Borel group $B$ contained in a Grassmannian

Grassmannian is embedded in projective space by Plücker map

smooth points on variety of linear subspaces intersecting a given subspace

Proving that $S\mapsto\text{Hom}(\bigwedge^2S,\mathbb R)$ defines a vector bundle over a Grassmanian.

Subvarieties of Schubert varieties over finite fields

Exterior algebra: property of signed area

Proving that the Grassmannian is a smooth manifold

Diffeomorphism between $SO(3)$ and $\mathbb{R}P^3$

An invariant that determines membership in an element of $Gr(2,\mathbb{C}^3)$

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