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What is the difference between „normal direction“ and „transverse direction“?

Say, we have an equilibrium whose linearization has zero eigenvalue and the rest of its spectrum in the left half-plane. Then, we have a stable normal hyperbolic invariant manifold. Then does it make a difference to say „stable in the transversal directions“ or „stable in normal directions“?

To make the confusion complete, I have read „in the normal direction, transverse to the manifold“.

real-analysis manifolds

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asked Mar 20 at 19:30

SalamoSalamo

359412

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0

$begingroup$

What is the difference between „normal direction“ and „transverse direction“?

Say, we have an equilibrium whose linearization has zero eigenvalue and the rest of its spectrum in the left half-plane. Then, we have a stable normal hyperbolic invariant manifold. Then does it make a difference to say „stable in the transversal directions“ or „stable in normal directions“?

To make the confusion complete, I have read „in the normal direction, transverse to the manifold“.

real-analysis manifolds

share|cite|improve this question

asked Mar 20 at 19:30

SalamoSalamo

359412

$endgroup$

add a comment | 

$begingroup$

What is the difference between „normal direction“ and „transverse direction“?

Say, we have an equilibrium whose linearization has zero eigenvalue and the rest of its spectrum in the left half-plane. Then, we have a stable normal hyperbolic invariant manifold. Then does it make a difference to say „stable in the transversal directions“ or „stable in normal directions“?

To make the confusion complete, I have read „in the normal direction, transverse to the manifold“.

real-analysis manifolds

share|cite|improve this question

asked Mar 20 at 19:30

SalamoSalamo

359412

$endgroup$

share|cite|improve this question

asked Mar 20 at 19:30

SalamoSalamo

359412

share|cite|improve this question

asked Mar 20 at 19:30

SalamoSalamo

359412

asked Mar 20 at 19:30

SalamoSalamo

359412

asked Mar 20 at 19:30

SalamoSalamo

359412