Tags » Geodesics

Lecture 11 (Jan 16, 2017)

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

Lecture

Three ways to look at things

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

Liouville

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