List questions from co-tangent-space

Published on 24 Apr 2026 - 2:21

546

Views

Cotangent lift of the commutator of 2 vector fields

Published on 23 Apr 2026 - 12:21

88

Views

Construction of group structure in T^{*}G where G is a Lie group

Published on 23 Apr 2026 - 7:03

121

Views

If $S\subseteq M$ is a submanifold, is there a canonical way to identify $T_{p}^{}S$ as a subspace of $T_{p}^{}M$?

Published on 23 Apr 2026 - 11:03

116

Views

Tangent space $T_q(df(M))$ as a subspace of $T_q(T^*M)$

Published on 23 Apr 2026 - 11:29

77

Views

Chart Transformation in $T^*_x M$

Published on 23 Apr 2026 - 7:59

1.2k

Views

Group action induced on the cotangent bundle.

Published on 10 May 2026 - 14:04

219

Views

Why are $(q,p)$ in cotangent bundle instead of tangent bundle?

Published on 22 Apr 2026 - 14:51

317

Views

Euler exact sequence for $\mathbb{P}^n$ and toric varieties

Published on 22 Apr 2026 - 16:11

682

Views

Krull's Principal Ideal Theorem for tangent spaces

Published on 23 Apr 2026 - 3:08

51

Views

Smooth function $y$ that satisfies $dy|_p=w$ for covector $w$.

Published on 21 Apr 2026 - 16:53

77

Views

Is the matrix $dF_p$ invertible when $F=(y^1, \dots, y^n)$ and $(dy^1\big|_p,\dots, dy^n\big|_p)$ is a basis for $T_p^*M$?

Published on 26 Apr 2026 - 23:12

130

Views

Corresponding flow on cotangent bundle

Published on 27 Apr 2026 - 1:03

248

Views

Hamiltonian vector field on cotangent bundle

Published on 05 May 2026 - 4:02

795

Views

How do we define the cotangent space as the quotient of ideals?

Published on 27 Apr 2026 - 6:19

List Question

Wedge product of a 2-form with a 1-form.

Cotangent lift of the commutator of 2 vector fields

Construction of group structure in T^{*}G where G is a Lie group

If $S\subseteq M$ is a submanifold, is there a canonical way to identify $T_{p}^{}S$ as a subspace of $T_{p}^{}M$?

Tangent space $T_q(df(M))$ as a subspace of $T_q(T^*M)$

Chart Transformation in $T^*_x M$

Group action induced on the cotangent bundle.

Why are $(q,p)$ in cotangent bundle instead of tangent bundle?

Euler exact sequence for $\mathbb{P}^n$ and toric varieties

Krull's Principal Ideal Theorem for tangent spaces

Smooth function $y$ that satisfies $dy|_p=w$ for covector $w$.

Is the matrix $dF_p$ invertible when $F=(y^1, \dots, y^n)$ and $(dy^1\big|_p,\dots, dy^n\big|_p)$ is a basis for $T_p^*M$?

Corresponding flow on cotangent bundle

Hamiltonian vector field on cotangent bundle

How do we define the cotangent space as the quotient of ideals?

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