Differential geometry Definition and 409 Threads

HELLO ALL, I AM StUDYING DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS IN IMAGE PROCESSING. WHAT EVERYBODY DOES IS THAT TREATS THE IMAGE OR OBJECT AS A CURVE OR A SURFACE AND USES VARIOUS DIFFERENTIAL GEOMETRY OPERATORS TO GET THE DESIRED RESULT, FIRST IN THE CONTINUOS DOMAIN AND THEN FOR...

I am used to classical tensor notations. I am doing theoretical physics during my hobby time, engineering for a living. Often I get lost with differential forms notations and even I don't recognize easily the concepts. I don't have the patience to re-read the full text of the wonderful...

Hello, I was hoping if somebody could point me to a starters text on differential geometry. I have done some calculas ~4 years ago - I can refresh stuff as I need to. My physics is at high school level, but I do read up on stuff every once a while My aim in learning diff geom is to be...

i've been trying to find a good set of lecture notes for independent study on the subject. I wen to the one in the thread on differential geometry and tensor calculus at people.hofstra.com, but it went offline while i was viewing it and i have had no luck reaccessing it.

Quantum Geometry is a fairly new field using a wide range of math tools. It would help to have a sticky where links to useful online papers can be kept for ready access. A lot of the interest in quantum differential geometry stems from efforts to quantize the 3+1 spacetime manifold. Not to...

One of selfAdjoint's posts in a loop gravity thread pointed out that many of the tools needed belonged in differential geometry. This is his 22 October 8:33 pm post: ----------------------- "Since Greg the magician got us a reprieve on the bandwidth thing, I'll add a little. I just read...

HOW DO SCIENtists calculate worm holes? differential geometry? what do they do? i know a worm has 4d xyz and time...oike what do they do? the distance from Earth to a worm and then do mental math?

i have been doing fourier, differential equations, and advanced calculus and then i saw differential geometry in a book...since teh book only covered advanced calculus, it only introduced diff. geometry...can anyone show and tell me where on the web there is a tutorial for differential geometry?

I am trying to learn a little bit more about geometry of surfaces and some differential geometry concepts like principal, gaussian an mean curvatures. I have found some interesting material at mathworld.wolfram.com but as usual there is a quantity of little incorrect details. Is anybody...