Riemannian geometry (Universitext)

Format: Paperback

Language: English

Format: PDF / Kindle / ePub

Size: 7.55 MB

The goal of this conference is to bring together established and early-career researchers to discuss a range of topics from low-dimensional topology. For example: consider the following diagram of a circle, and then we can differentiate its various elements as follows: The length of the arc, s is given to be equal to r * $\theta$, this implies, $\theta$ = s/ r, whose coordinates will be as follows: The tangent would be calculated by taking the first partial differentiation of a (s), which would be: The curvature of the circle would by calculated by taking the second partial differentiation of a (s) as shown below: a '' (s) or k = [- cos (s/r) / r, - sin (s/r) / r ], which will give k = - 1 / r2 a (s), on further calculation, thus, mod of k would be equal to 1 / r.

Pages: 248

Publisher: Springer-Verlag (1987)

ISBN: 0387179232

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