## Geodesics

Definitions of geodesic curves on a Riemmanian manifold. Differential equations of the second order. Local existence of solutions. Geodesic map. Geodesic spheres, orthogonality. Local minimality of geodesic curves. 58 more words

Definitions of geodesic curves on a Riemmanian manifold. Differential equations of the second order. Local existence of solutions. Geodesic map. Geodesic spheres, orthogonality. Local minimality of geodesic curves. 58 more words

A familiar shadow loomed in from the hallway.

“C’mon in, Vinnie, the door’s open.”

“I brought some sandwiches, Sy.”

“Oh, thanks, Vinnie.”

“Don’t mention it. An’ I got another LIGO issue.” 704 more words

Yesterday we had a very nice talk about Liouville, given by Jesper Lützen from Copenhagen.

I am not going to summarise his talk. But here are a few small facts about Liouville which I didn’t know. 43 more words