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Tag Archives: harmonic
Vortex dynamics
(Updated on 26/4-20) We will investigate the motion of point vortices and dipole vortices on a Riemann surface. We’ll start with the point vortex case and will mainly follow the well-written exposition given by Björn Gustafsson in Vortex motion and … Continue reading
Posted in complex analysis
Tagged connection, harmonic, Schwarzian derivative, vortex
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The cross ratio
The purpose of this post is to show how the cross ratio can be understood as a generalisation of the corresponding invariants in Euclidean and affine geometry and how it is closely related to the concept of a point frame. … Continue reading
Posted in projective geometry
Tagged cross ratio, harmonic, projective frame, projective line
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Curved Maths 