AM 433Differential Geometry
- Last listed
- 1994–95
No longer offered. It’s in Waterloo’s scanned calendars from 1989–90 to 1994–95; the 1995–96 to 2023–24 calendars are on ucalendar.
Some global aspects of surface theory, the Euler-Poincaré characteristic, the global interpretation of gaussian curvature via the Gauss-Bonnet formula. Submanifolds of E®, induced riemannian metrics, extrinsic and intrinsic curvatures, Gauss-Codazzi equations. Local Lie groups of transformations on R', infinitesimal generators, the Lie derivative. An introduction to differentiable manifolds, the tangent and cotangent bundles, affine connections and the riemann curvature tensor. The above topics will be illustrated by applications to continuum mechanics and mathematical physics.
As printed in the 1989–90 to 1994–95 calendars, read by OCR; the scanned page is the original. Later calendars (1995–96 on) aren’t on uwloo.
Requirements, as last listed
Prereq: AM 333/PMATH 365 or consent of instructor
Cross-listed as PMATH 465
Check it elsewhere
- Undergraduate Calendar, 1995–96If it ran past 1994–95, on ucalendar
- Course outlinesSyllabi from past terms (UW login)
- UW FlowStudent ratings and reviews
- WClassesPast sections back to 2004, and who taught them
In the scanned calendars
How it read in each calendar from 1989–90 to 1994–95, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.
1989–90 to 1994–95 6 calendars
Some global aspects of surface theory, the Euler-Poincaré characteristic, the global interpretation of gaussian curvature via the Gauss-Bonnet formula. Submanifolds of E®, induced riemannian metrics, extrinsic and intrinsic curvatures, Gauss-Codazzi equations. Local Lie groups of transformations on R', infinitesimal generators, the Lie derivative. An introduction to differentiable manifolds, the tangent and cotangent bundles, affine connections and the riemann curvature tensor. The above topics will be illustrated by applications to continuum mechanics and mathematical physics.
Prereq: AM 333/PMATH 365 or consent of instructor
Cross-listed as PMATH 465