Mixing
Automorphisms send chats of a leaf to charts of another leaf
$begingroup$
Let $M$ be a manifold which is foliated by leaves ${mathcal L_alpha}$. Suppose that $f:Mto M$ is an automorphism open mapping. Fix a leaf $mathcal L$.
How to show that for all $yin mathcal L$ there exists an open neighborhood $yin Usubset mathcal L$ such that $f(U)subset mathcal L'$ for some leaf $mathcal L'$?
general-topology differential-geometry manifolds differential-topology
asked Jan 18 at 17:04
Amrat AAmrat A
31219
$endgroup$
add a comment |
$begingroup$
Let $M$ be a manifold which is foliated by leaves ${mathcal L_alpha}$. Suppose that $f:Mto M$ is an automorphism open mapping. Fix a leaf $mathcal L$.
How to show that for all $yin mathcal L$ there exists an open neighborhood $yin Usubset mathcal L$ such that $f(U)subset mathcal L'$ for some leaf $mathcal L'$?
general-topology differential-geometry manifolds differential-topology
asked Jan 18 at 17:04
Amrat AAmrat A
31219
$endgroup$
add a comment |
$begingroup$
Let $M$ be a manifold which is foliated by leaves ${mathcal L_alpha}$. Suppose that $f:Mto M$ is an automorphism open mapping. Fix a leaf $mathcal L$.
How to show that for all $yin mathcal L$ there exists an open neighborhood $yin Usubset mathcal L$ such that $f(U)subset mathcal L'$ for some leaf $mathcal L'$?
general-topology differential-geometry manifolds differential-topology
asked Jan 18 at 17:04
Amrat AAmrat A
31219
$endgroup$
Let $M$ be a manifold which is foliated by leaves ${mathcal L_alpha}$. Suppose that $f:Mto M$ is an automorphism open mapping. Fix a leaf $mathcal L$.
How to show that for all $yin mathcal L$ there exists an open neighborhood $yin Usubset mathcal L$ such that $f(U)subset mathcal L'$ for some leaf $mathcal L'$?
general-topology differential-geometry manifolds differential-topology
general-topology differential-geometry manifolds differential-topology
asked Jan 18 at 17:04
Amrat AAmrat A
31219
asked Jan 18 at 17:04
Amrat AAmrat A
31219
edited Jan 20 at 20:11
Amrat A
asked Jan 18 at 17:04
Amrat AAmrat A
31219
asked Jan 18 at 17:04
Amrat AAmrat A
31219
asked Jan 18 at 17:04
Amrat AAmrat A
31219
31219
add a comment |
add a comment |
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