# Please help, construct a natural differential structure on this manifold

by saminator910
Tags: construct, differential, manifold, natural, structure
 P: 79 I need to construct a natural smooth differential structure on the ellipsoid [(x^2)/(a^2)]+[(y^2)/(b^2)]+[(z^2)/(c^2)]=1 So I need an Atlas to produce this, how would I do this? I don't really have an idea of what functions and sets an Atlas consists of, can one use parametric equations? Also, is this diffeomorphic to S^2? There needs to be a smooth mapping from the ellipsoid to the 2-sphere, correct?

 Related Discussions Differential Geometry 17 Differential Geometry 9 Calculus & Beyond Homework 1 Differential Geometry 2 Calculus & Beyond Homework 7