Lie Brackets allow one to measure the derivative of a tensor field on manifolds, with respect to some vector field. Is there a generalization of this, where one could take a derivative with respect to say, a 2-form, or another tensor?
2026-03-28 06:48:22.1774680502
Are there higher order generalizations if the Lie derivative?
57 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in TENSORS
- Linear algebra - Property of an exterior form
- How to show that extension of linear connection commutes with contraction.
- tensor differential equation
- Decomposing an arbitrary rank tensor into components with symmetries
- What is this notation?
- Confusion about vector tensor dot product
- Generalization of chain rule to tensors
- Tensor rank as a first order formula
- $n$-dimensional quadratic equation $(Ax)x + Bx + c = 0$
- What's the best syntax for defining a matrix/tensor via its indices?
Related Questions in DIFFERENTIAL-FORMS
- Using the calculus of one forms prove this identity
- Relation between Fubini-Study metric and curvature
- Integration of one-form
- Time derivative of a pullback of a time-dependent 2-form
- Elliptic Curve and Differential Form Determine Weierstrass Equation
- I want the pullback of a non-closed 1-form to be closed. Is that possible?
- How to find 1-form for Stokes' Theorem?
- Verify the statement about external derivative.
- Understanding time-dependent forms
- form value on a vector field
Related Questions in LIE-DERIVATIVE
- Proof that 1-Form on a Symplectic Manifold is Closed?
- Time derivative of a pullback of a time-dependent 2-form
- Understanding time-dependent forms
- Is Lie Bracket closely related to differentiation?
- In How Many Ways Can We Define Derivatives?
- Diffeomorphism invariance, Lie derivative
- Deducing Fourier expansion from action of infinitesimal generators
- Lie Derivative along One Forms
- Twice contracted Bianchi identity from diffeomorphism invariance
- Computing Lie derivative of a sum
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?