Closed Curves on the Riemann Sphere

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
Poopsilon
Messages
288
Reaction score
1
Is the imaginary axis considered a closed curve on the Riemann Sphere?
 
Physics news on Phys.org
Poopsilon said:
Is the imaginary axis considered a closed curve on the Riemann Sphere?

If you include the point at infinity, yes. Otherwise no.
 

Similar threads

Undergrad Area between two closed curves
  • SSGD
  • · Replies 1 ·
  • Calculus
Replies
1
Graduate Derivative at infinity on the Riemann sphere
  • Unit
  • · Replies 4 ·
  • Calculus
Replies
4
Graduate Maximum Number of Closed Curves with zero Line Integral
  • abiyo
  • · Replies 2 ·
  • Calculus
Replies
2
Graduate Homotopy of Closed Curves on a Simply Connected Region
  • IniquiTrance
  • · Replies 3 ·
  • Calculus
Replies
3
Graduate Understanding Closed Curves & Remark on Unique Extension
  • Buri
  • · Replies 4 ·
  • Calculus
Replies
4
Undergrad Closed surfaces and closed curves
  • flamengo
  • · Replies 2 ·
  • Topology and Analysis
Replies
2
Undergrad Understanding How Closed Curves Work in Maths
  • GrizzlyBat
  • · Replies 12 ·
  • Calculus
Replies
12
Graduate What is the concept of the extended complex plane/Riemann Sphere?
  • jimmycricket
  • · Replies 1 ·
  • Topology and Analysis
Replies
1
Graduate Riemann sphere in infinite dimensional space?
  • Log
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate Finding Minimal Mean Distance Curves on the Unit Sphere
  • iPuzzled
  • · Replies 2 ·
  • Differential Geometry
Replies
2