|Jul20-12, 12:20 PM||#1|
Riemann "sphere" in infinite dimensional space?
I was just reading about the Riemann sphere, in 3-space and find it very interesting. With it you assign a point on the sphere to every location in the xy-plane. Then I thought, in 4-space you would be able to assign every point in 3-space to a point on the 4-dimensional Riemann "sphere".
Is there any such thing in infinite dimensional space? That would be pretty cool!
|Jul21-12, 09:23 PM||#2|
Also, the Riemann Sphere can also be understood as the riemannian counterpart of the complex plane. http://en.wikipedia.org/wiki/Riemann...rojective_line
I know, thats a lot of wikipedia links, but wikipedia is correct unless someone's vandalised it, in which case, its quite obvious.
|Similar Threads for: Riemann "sphere" in infinite dimensional space?|
|In binary can we have a value with "deci" "centi" "mili" or more lower valued prefix?||Computers||14|
|Help with Mobius Inversion in "Riemann's Zeta Function" by Edwards (J to Prime Pi)||Linear & Abstract Algebra||2|
|Finding "a" and "b" in an infinite series limit comparison test||Calculus & Beyond Homework||10|
|Probability and Statistic on "Infinite-Dimensional" spaces||Set Theory, Logic, Probability, Statistics||4|
|Your "weight" on a "Space Elevator"?||Astrophysics||8|