umbrella auf Whitney


These are three level surfaces of the function f(x,y,z)=xy^2+z^2

they are at levels 1,0,-1.

This means that the orange points p on the surface \Sigma in the left graphic, that is, p\in\Sigma=f^{-1}(1) or f(p)=1.

Leave a comment

Filed under 3-manifold, calculus on manifolds, differential geometry, geometry, topology

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s