Question

Finding a 3 dimensional manifold that integrates involutive distribution given by $X=∂/∂x + z∂/∂y$, $Y =∂/∂z + x∂/∂w$ and $Z =∂/∂w - ∂/∂y$

score 54 · Answer 1 · 2023-10-04 13:17:03

54

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Finding a 3 dimensional manifold that integrates involutive distribution given by $X=∂/∂x + z∂/∂y$, $Y =∂/∂z + x∂/∂w$ and $Z =∂/∂w - ∂/∂y$

Published on 04 Oct 2023 - 13:17

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105

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74

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60

Views

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List Question

Finding a 3 dimensional manifold that integrates involutive distribution given by $X=∂/∂x + z∂/∂y$, $Y =∂/∂z + x∂/∂w$ and $Z =∂/∂w - ∂/∂y$

Explaining the tangent bundles of $S^n$ for $n=1,3,7$

Why divergence should be a scalar

How to understand curl means rotation

Misunderstanding Einstein notation

Curvature of streamlines as a Scalar field from a given vector field?

Verifying the divergence theorem for a given example

Line integral exercise of a real vector field

Why does it seem the inner curls within a surface always cancels in order for greens theorem to be true

Locally free circle actions on Euclidean space

How do I find orthogonal vectors using the del operator in an arbitrary coordinate system?

Time derivative of time-dependent vector fields on a manifold

Problems with the definition of a vector field in do Carmo's book.

If the coordinates or components $X_i$ are smooth for all chart of manifold $M$ then the vector field $X$ is smooth

Notation to distinct between vector fields and functions $f:\mathbb R^n\rightarrow\mathbb R^n$.

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