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Seminarium i matematik

Jesper Göransson: The geometry of second order ordinary differential equations

Välkommen till en föreläsning i seminarieserien i matematik.

Föreläsare/Lecturer

Jesper Göransson, elevassistent, Spyken, Lund

Titel/Title

The geometry of second order ordinary differential equations

Sammanfattning/Abstract

The theory of second order ordinary differential equations has a rich geometric content. For a general second order ODE we will construct the adapted projective connection that allows us to decide if the equation is equivalent to the trivial equation y''=0. We will discuss the close relation between homogeneous coordinates, projective curvature and infinitesimal nondesargueness. We will also see how projective dualism further gives a geometric interpretation of these concepts.

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