MATH 226A

Differential Geometry

Mathematics · 4 units · Graduate courses (200-299)

Open the requisite map View official UCLA course listing ↗Find on Bruinwalk ↗

Manifold theory; connections, curvature, torsion, and parallelism. Riemannian manifolds; completeness, submanifolds, constant curvature. Geodesics; conjugate points, variational methods, Myers theorem, nonpositive curvature. Further topics such as pinched manifolds, integral geometry, Kahler manifolds, symmetric spaces.

Requisites

Official UCLA wording
Requisite: course 225A.

BruinTree reads · Prerequisite

confidence 1.00 · from text

MATH 225A

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 226A

MATH 225ASmooth Manifolds

1 direct requisite. The whole upstream is here — 1 course over 1 level. Every course here opens its own tree.

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

MATH 226A

MATH 233Partial Differential Equations on Manifolds
MATH 234Topics in Differential Geometry

2 courses list this as a requisite. The whole downstream is here — 2 courses over 1 level. Every course here opens its own tree.