Question

Is $\operatorname {GL}(n)\times \operatorname{Gr}(m,n)\to \operatorname{Gr}(m,n)$ closed?

score 60 · Answer 1 · 2023-09-10 13:53:07

60

Views

Is $\operatorname {GL}(n)\times \operatorname{Gr}(m,n)\to \operatorname{Gr}(m,n)$ closed?

Published on 10 Sep 2023 - 13:53

score 82 · Answer 2 · 2023-09-13 22:50:33

82

Views

Is the Grassmannian a Fiber Bundle?

Published on 13 Sep 2023 - 22:50

score 50 · Answer 3 · 2023-09-16 14:43:30

50

Views

Proving the Grassmannian is a manifold

Published on 16 Sep 2023 - 14:43

score 105 · Answer 4 · 2023-10-25 13:49:29

105

Views

How to see the second fundamental form is symmetric when defining it as the derivative of the Gauss map?

Published on 25 Oct 2023 - 13:49

score 25 · Answer 5 · 2023-10-26 22:02:46

25

Views

Map from Orthonormal Frame to Grassmannian is Quotient Map

Published on 26 Oct 2023 - 22:02

score 23 · Answer 6 · 2023-11-03 20:46:04

23

Views

How to determine Plucker coordinates of Infinite dimension Sato Grassmannian?

Published on 03 Nov 2023 - 20:46

score 20 · Answer 7 · 2023-11-12 16:25:26

20

Views

If all the vector spaces in a convergent sequence in the Grassmanian contains a vector, then the limit of the sequence contains the vector?

Published on 12 Nov 2023 - 16:25

score 75 · Answer 8 · 2023-11-13 19:54:48

75

Views

Exercise 5.4.1 in Smith's Invitation to Algebraic Geometry; lines that are tangent to conic are closed subvariety of Gr$(2,3)$ in $\mathbb{P}^2$

Published on 13 Nov 2023 - 19:54

score 54 · Answer 9 · 2023-11-21 06:06:17

54

Views

Cohomology of product Grassmann manifolds

Published on 21 Nov 2023 - 6:06

score 56 · Answer 10 · 2023-12-04 14:27:03

56

Views

What is the meaning of this statement in the proof that grassmanian is a manifold?

Published on 04 Dec 2023 - 14:27

score 59 · Answer 11 · 2023-12-19 10:59:51

59

Views

Pullback of the tautological subbundle under the canonical inclusion

Published on 19 Dec 2023 - 10:59

score 88 · Answer 12 · 2024-01-21 00:59:20

88

Views

Show that the Grassmanian is a manifold using Godement's theorem on $O(n)$

Published on 21 Jan 2024 - 0:59

score 48 · Answer 13 · 2024-01-23 09:11:06

48

Views

Show that the submersions $V_k(\mathbb R^n) \to G_k (\mathbb R^n)$ and $O(n) \to G_k (\mathbb R^n)$ are fibrations

Published on 23 Jan 2024 - 9:11

score 69 · Answer 14 · 2024-01-23 11:23:51

69

Views

Prove $\Lambda = \{ (\text{Pl}(L), p) \in \text{Pl}(\text{Gr}(k,n))) \times Z \ | \ p \in L\}$

Published on 23 Jan 2024 - 11:23

score 52 · Answer 15 · 2024-01-26 00:11:50

52

Views

Manifold of subrepresentations of an isotypic subspace

Published on 26 Jan 2024 - 0:11

List Question

Is $\operatorname {GL}(n)\times \operatorname{Gr}(m,n)\to \operatorname{Gr}(m,n)$ closed?

Is the Grassmannian a Fiber Bundle?

Proving the Grassmannian is a manifold

How to see the second fundamental form is symmetric when defining it as the derivative of the Gauss map?

Map from Orthonormal Frame to Grassmannian is Quotient Map

How to determine Plucker coordinates of Infinite dimension Sato Grassmannian?

If all the vector spaces in a convergent sequence in the Grassmanian contains a vector, then the limit of the sequence contains the vector?

Exercise 5.4.1 in Smith's Invitation to Algebraic Geometry; lines that are tangent to conic are closed subvariety of Gr$(2,3)$ in $\mathbb{P}^2$

Cohomology of product Grassmann manifolds

What is the meaning of this statement in the proof that grassmanian is a manifold?

Pullback of the tautological subbundle under the canonical inclusion

Show that the Grassmanian is a manifold using Godement's theorem on $O(n)$

Show that the submersions $V_k(\mathbb R^n) \to G_k (\mathbb R^n)$ and $O(n) \to G_k (\mathbb R^n)$ are fibrations

Prove $\Lambda = \{ (\text{Pl}(L), p) \in \text{Pl}(\text{Gr}(k,n))) \times Z \ | \ p \in L\}$

Manifold of subrepresentations of an isotypic subspace

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