The main problem I have with this question is just the wording:(adsbygoogle = window.adsbygoogle || []).push({});

If [itex]M[/itex] is an oriented manifold by means of the restriction of the form [itex]dx \wedge dy[/itex], describe explicitly the induced orientation on [itex]\partial M[/itex] -- i.e. clockwise or counterclockwise in the plane [itex]z = 1[/itex].

I don't understand the underlined part. Perhaps it means that the orientation for each [itex](x, y) \in M[/itex], [itex]\mu _{(x, y)}[/itex] is the one such that [itex]dx \wedge dy (x, y)[/itex] is the volume element of [itex]M_{(x, y)}[/itex] determined by the standard inner product and orientation [itex]\mu _{(x, y)}[/itex]. Am I interpreting it correctly, or am I reading much more into what's actually said there, and if it's the latter, what is the correct interpretation? Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Oriented Manifold

**Physics Forums | Science Articles, Homework Help, Discussion**