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4h
accepted What is the scalar product of tensors?
1d
revised What is the scalar product of tensors?
added 1 character in body
1d
asked What is the scalar product of tensors?
2d
comment Is there a natural Lie bracket for $\mathfrak X (M) \times C^\infty(M)$ (pairs of vector fields and smooth functions)?
@AmitaiYuval If you are still interested, the reason for the question comes from fluid dynamics. Ideal incompressible fluid is described solely by its (divergence-free) velocity field. This system is Hamiltonian with a Lie-Posson bracket based on a Lie bracket of vector fields. If there are additional variables, like energy, the reversible part of evolution is still described by a Poisson bracket. I wondered, if this is still a Lie-Poisson bracket and what is the Lie bracket then for velocity fields coupled with this additional scalar fields.
2d
accepted Is there a natural Lie bracket for $\mathfrak X (M) \times C^\infty(M)$ (pairs of vector fields and smooth functions)?
2d
revised Is there a natural Lie bracket for $\mathfrak X (M) \times C^\infty(M)$ (pairs of vector fields and smooth functions)?
deleted 7 characters in body
2d
asked Is there a natural Lie bracket for $\mathfrak X (M) \times C^\infty(M)$ (pairs of vector fields and smooth functions)?
Sep
24
asked If $\operatorname{div} X = 0$ what can be said about $X^\flat$?
Sep
15
accepted Evaluate a Nested Integral
Sep
15
comment Evaluate a Nested Integral
@achillehui yes, you can make it into an answer
Sep
15
asked Evaluate a Nested Integral
Aug
27
revised What is the notation for pull-back and push-forward of an exponential map?
added 14 characters in body
Aug
27
comment What is the notation for pull-back and push-forward of an exponential map?
@mike yes, sure
Aug
27
asked What is the notation for pull-back and push-forward of an exponential map?
Aug
21
awarded  Yearling
Aug
2
revised Integration of bundle-valued differential forms
edited body
Aug
2
asked Integration of bundle-valued differential forms
Aug
2
accepted How is partial time derivative $\frac{\partial}{\partial t}$ defined for vector flows?
Jul
25
comment How is partial time derivative $\frac{\partial}{\partial t}$ defined for vector flows?
Sorry guys for leaving the notation question unaddressed, the notation is the most standard and finding a better formulation for the question turned out to be more difficult then just providing the answer.
Jul
25
answered How is partial time derivative $\frac{\partial}{\partial t}$ defined for vector flows?