List questions from lie-derivative

Published on 09 Apr 2026 - 23:12

172

Views

Consider symplectic vector fields $X,Y$ and a symplectic connection $\nabla$. Is $\nabla_{X}Y$ symplectic?

Published on 15 Apr 2026 - 3:20

95

Views

Relation between lie derivative of a vector field and associated 1-form in a Lorentzian manifold

Published on 15 Apr 2026 - 10:41

75

Views

Why is this formula wrong ? lie derivative tensor

Published on 13 Apr 2026 - 2:49

37

Views

Constructing metric tensor of cosmological models viewed as (Riemann) homogeneous space and connections with the Killing vectors

Published on 17 Apr 2026 - 9:40

1.3k

Views

Commutator of Lie derivative and Hodge star operator

Published on 11 Apr 2026 - 12:12

787

Views

Why is $[fX,gY]=fg[X,Y]$ wrong? ( $[]$ denotes the Lie bracket)

Published on 13 Apr 2026 - 11:12

1.2k

Views

Definition of ODE and flow on manifold.

Published on 13 Apr 2026 - 13:52

71

Views

Exp notation and integration linear system

Published on 10 Apr 2026 - 1:34

97

Views

Does the Lie derivative of a form $\alpha$ in the direction of $X$ at $p$ depend only on $X(p)$?

Published on 14 Apr 2026 - 21:11

312

Views

Lie derivative of vectors and Lie derivative of 1-forms: can't reconcile the two

Published on 15 Apr 2026 - 11:53

195

Views

Lie derivative of Dirac distribution

Published on 14 Apr 2026 - 9:45

535

Views

Clarifying the definition of Lie derivative for tensors

Published on 09 Apr 2026 - 16:42

132

Views

Why $L_X \circ d = d \circ L_X$?

Published on 15 Apr 2026 - 23:51

1.6k

Views

Equivalence between commuting (complete) vector fields and commuting flows

Published on 14 Apr 2026 - 7:37

List Question

expansion of exterior derivative of interior product

Consider symplectic vector fields $X,Y$ and a symplectic connection $\nabla$. Is $\nabla_{X}Y$ symplectic?

Relation between lie derivative of a vector field and associated 1-form in a Lorentzian manifold

Why is this formula wrong ? lie derivative tensor

Constructing metric tensor of cosmological models viewed as (Riemann) homogeneous space and connections with the Killing vectors

Commutator of Lie derivative and Hodge star operator

Why is $[fX,gY]=fg[X,Y]$ wrong? ( $[]$ denotes the Lie bracket)

Definition of ODE and flow on manifold.

Exp notation and integration linear system

Does the Lie derivative of a form $\alpha$ in the direction of $X$ at $p$ depend only on $X(p)$?

Lie derivative of vectors and Lie derivative of 1-forms: can't reconcile the two

Lie derivative of Dirac distribution

Clarifying the definition of Lie derivative for tensors

Why $L_X \circ d = d \circ L_X$?

Equivalence between commuting (complete) vector fields and commuting flows

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