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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: How do we Evaluate This Form on S^1?
Replies: 11   Last Post: Jan 22, 2013 4:17 PM

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gk@gmail.com

Posts: 101
Registered: 11/12/12
How do we Evaluate This Form on S^1?
Posted: Jan 20, 2013 2:30 AM
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Hi, All:

Just curious:

How does one evaluate the form d(theta) on the circle?

I know a form takes a tangent vector X and spits out a real number , in a linear way. The tangent space to S^1 is R^1, so that a tangent vector is of the form
c ; any non-zero real number can be a basis.

But, how do we get a number from d(theta)[c]?

I tried using a change of coordinate, changing from cartesian to polar, but I don't see much difference.

Any suggestions, please?

Thanks.

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