MATH 226C

Differential Geometry

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

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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.

When it runs

Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.

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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 226C

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.

No course in the catalog lists this as a requisite.