Finding Umbilic Points of an Ellipsoid & Lines of Curvature

  • #1

halvizo1031

78
0
discuss how to find the umbilic points of an ellipsoid and their connection to lines of curvature.
 
Physics news on Phys.org
  • #2
An "umbilic point" of a surface is a point where the principal curvatures are equal. How do you find the principal curvatures at a point on an ellipsoid?
 
  • #3
that's where I need help.
 

Suggested for: Finding Umbilic Points of an Ellipsoid & Lines of Curvature

I Reconciling 2 expressions for Riemann curvature tensor
Replies
34
Views
1K
I Diverging Gaussian curvature and (non) simply connected regions
Replies
1
Views
1K
A On the different ways of determining curvature on manifolds
Replies
1
Views
1K
B Curvature and geodesics
Replies
10
Views
2K
B East-West error at regular points on the Azimuthal Equidistant Map
Replies
3
Views
194
I Derived metrics on surfaces of positive curvature
Replies
5
Views
2K
A Diffeomorphic manifolds of equal constant curvature
2
Replies
42
Views
5K
A Variational derivative of mean curvature
Replies
1
Views
2K
B Attempted proof of the Contracted Bianchi Identity
Replies
1
Views
700
B Relating basis vectors at different points in a neighborhood
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top