Question

Does the Hessian correspond to the exterior derivative of the gradient 1-form? Or does its skew-symmetrization?

score 16 · Answer 1 · 2026-02-23 11:51:02

16

Views

Does the Hessian correspond to the exterior derivative of the gradient 1-form? Or does its skew-symmetrization?

Published on 23 Feb 2026 - 11:51

score 81 · Answer 2 · 2024-01-26 18:21:10

81

Views

The Riemann Curvature of The Round Sphere

Published on 26 Jan 2024 - 18:21

score 49 · Answer 3 · 2024-01-31 14:26:00

49

Views

Help me solve this question if not atleast tell me What are the backgrounds needed to study to solve this question about Kenmotsu Manifold?

Published on 31 Jan 2024 - 14:26

score 67 · Answer 4 · 2024-01-31 15:59:19

67

Views

How/why does definition of eigenvalue/vector implicitly require a choice of inner product?

Published on 31 Jan 2024 - 15:59

score 101 · Answer 5 · 2026-02-23 10:06:01

101

Views

How to deduce: $T(x_1, \dots , x_i+x_j, \dots, x_i+x_j, \dots , x_n) = 0$?

Published on 23 Feb 2026 - 10:06

score 52 · Answer 6 · 2026-02-23 13:41:00

52

Views

I have confusion understanding why Zero Vector space has dimension zero?

Published on 23 Feb 2026 - 13:41

score 54 · Answer 7 · 2024-02-08 00:50:34

54

Views

Symmetrization and antisymmetrization of multilinear transformations

Published on 08 Feb 2024 - 0:50

score 39 · Answer 8 · 2026-02-23 10:06:00

39

Views

What does it mean, The space $L_n (V^n;K)$ of alternating n-linear forms is of dimension one?

Published on 23 Feb 2026 - 10:06

score 51 · Answer 9 · 2024-02-15 21:54:49

51

Views

Exterior algebra decomposition natural projections $ Π^{p,q}:\bigwedge {V}^*_{\mathbb{C}} \to \bigwedge^{p,q}V$ (Huybrechts book)

Published on 15 Feb 2024 - 21:54

score 44 · Answer 10 · 2024-02-16 12:44:19

44

Views

Fundamental form $\omega=\sum_{i\leq m}v^_i\wedge (Jv_i)^ $ with a complex structure $J$

Published on 16 Feb 2024 - 12:44

score 35 · Answer 11 · 2026-02-23 06:17:36

35

Views

Tensor product of linear forms.

Published on 23 Feb 2026 - 6:17

score 34 · Answer 12 · 2024-02-21 23:16:17

34

Views

Tensor product of $n$ modules with minimal assumptions

Published on 21 Feb 2024 - 23:16

score 47 · Answer 13 · 2024-02-26 09:12:07

47

Views

Universal metric of a bivariant tensor $t^i_j$.

Published on 26 Feb 2024 - 9:12

score 92 · Answer 14 · 2024-02-28 22:01:31

92

Views

$\mathbb{C}-$linear extension of 2-forms to (1,1)-forms

Published on 28 Feb 2024 - 22:01

score 75 · Answer 15 · 2024-03-04 02:49:44

75

Views

Kernel of the action of GL(V) on exterior square of V

Published on 04 Mar 2024 - 2:49

List Question

Does the Hessian correspond to the exterior derivative of the gradient 1-form? Or does its skew-symmetrization?

The Riemann Curvature of The Round Sphere

Help me solve this question if not atleast tell me What are the backgrounds needed to study to solve this question about Kenmotsu Manifold?

How/why does definition of eigenvalue/vector implicitly require a choice of inner product?

How to deduce: $T(x_1, \dots , x_i+x_j, \dots, x_i+x_j, \dots , x_n) = 0$?

I have confusion understanding why Zero Vector space has dimension zero?

Symmetrization and antisymmetrization of multilinear transformations

What does it mean, The space $L_n (V^n;K)$ of alternating n-linear forms is of dimension one?

Exterior algebra decomposition natural projections $ Π^{p,q}:\bigwedge {V}^*_{\mathbb{C}} \to \bigwedge^{p,q}V$ (Huybrechts book)

Fundamental form $\omega=\sum_{i\leq m}v^_i\wedge (Jv_i)^ $ with a complex structure $J$

Tensor product of linear forms.

Tensor product of $n$ modules with minimal assumptions

Universal metric of a bivariant tensor $t^i_j$.

$\mathbb{C}-$linear extension of 2-forms to (1,1)-forms

Kernel of the action of GL(V) on exterior square of V

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