List questions from lie-derivative

Published on 25 Mar 2026 - 1:38

169

Views

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

Published on 03 Jul 2018 - 16:10

94

Views

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

Published on 25 Mar 2026 - 9:28

72

Views

Why is this formula wrong ? lie derivative tensor

Published on 19 Jul 2018 - 3:21

34

Views

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

Published on 03 Aug 2018 - 12:51

1.3k

Views

Commutator of Lie derivative and Hodge star operator

Published on 25 Mar 2026 - 6:35

784

Views

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

Published on 30 Aug 2018 - 12:13

1.2k

Views

Definition of ODE and flow on manifold.

Published on 01 Sep 2018 - 7:10

67

Views

Exp notation and integration linear system

Published on 06 Sep 2018 - 9:11

94

Views

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

Published on 16 Sep 2018 - 2:53

309

Views

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

Published on 22 Sep 2018 - 2:59

191

Views

Lie derivative of Dirac distribution

Published on 02 Oct 2018 - 21:33

532

Views

Clarifying the definition of Lie derivative for tensors

Published on 03 Oct 2018 - 14:11

129

Views

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

Published on 12 Oct 2018 - 9:44

1.6k

Views

Equivalence between commuting (complete) vector fields and commuting flows

Published on 01 Nov 2018 - 16:02

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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