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4 votes

How to find basis of vector fields?

On the domain of an individual coordinate chart the vectors $\frac{\partial}{\partial x^i}$ ($i=1,\ldots,n$) form a basis in every fibre; but in a different coordinate system, on the intersection of ...
Lieven's user avatar
  • 2,081
1 vote

Is it possible to show this Integral identity, by assuming the hyposeses I have made?

Eventually I reckon this is a possible answer: To show the asymptotic behavior of $ e^{h(x)} $ as $ |x| \to \infty $, we need to analyze the integral expression for $ h(x) $ given by $$ h(x) = - \frac{...
X-man's user avatar
  • 39
1 vote

Reference for wiki claim about degree of spheres

I suggest that you pick up a book on differential topology and learn the concept of degree defined there. It is equivalent to the topological definition (with appropriate hypotheses), but in different ...
Lee Mosher's user avatar
  • 124k

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