The geometry of manifolds ... (an essay by R.O.Wells Jr.)

  • I
  • Thread starter fresh_42
  • Start date
  • #1
12,652
9,172

Main Question or Discussion Point

I have found this paper on the internet and think it might be interesting for some on this forum because there are frequently questions similar to the ones the paper tries to answer.

Author: Raymond O. Wells Jr

The geometry of manifolds and the perception of space

This essay discusses the development of key geometric ideas in the 19th century which led to the formulation of the concept of an abstract manifold (which was not necessarily tied to an ambient Euclidean space) by Hermann Weyl in 1913. This notion of manifold and the geometric ideas which could be formulated and utilized in such a setting (measuring a distance between points, curvature and other geometric concepts) was an essential ingredient in Einstein's gravitational theory of space-time from 1916 and has played important roles in numerous other theories of nature ever since.
http://arxiv.org/abs/1605.00890
http://arxiv.org/pdf/1605.00890v1.pdf


 

Answers and Replies

  • #2
11,489
5,023
  • #3
22,097
3,279
and it was written on May the 4th.

Also this is something @micromass and @Mark44 might like.
Indeed it is. It's a very interesting read. Thanks for alerting me to it!
 

Related Threads on The geometry of manifolds ... (an essay by R.O.Wells Jr.)

Replies
14
Views
5K
Replies
4
Views
6K
Replies
55
Views
4K
Replies
3
Views
868
Replies
16
Views
2K
  • Last Post
2
Replies
25
Views
3K
Replies
8
Views
3K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
2
Views
695
Replies
2
Views
774
Top