Category: Miscellaneous
-
Lifting to a Legendrian Curve v.s. Blowing Up at a Point
-
Making Sense of Tautological Fields
-
Arnold’s PDE: Constructing Isotropic Manifolds & the Euler Equation Example (Updated: 17/10/2025)
-
Non-Trivial Topology of SO(3): Seeing the loop that cannot be shrunk to a point (Penrose’s The Road to Reality)
-
Understanding Contact Structure Through Legendrian Curves: A Comparison Between Thurston’s Approach and Arnold’s Approach
-
Exploring the Lorentzian Space: Sphere of Radius √-1
-
Differentiation of Vector Fields on Manifolds (Arnold’s Math. Methods & Penrose’s The Road to Reality)
-
1-Graph of a Solution to a 1st-Order PDE
-
Eikonal Equation & Application of Characteristic Vector Field
-
Time-Orientability of Lorentzian Metrics on the Mobius Band
