MATH 234

Topics in Differential Geometry

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

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Complex and Kahler geometry, Hodge theory, homogeneous manifolds and symmetric spaces, finiteness and convergence theorems for Riemannian manifolds, almost flat manifolds, closed geodesics, manifolds of positive scalar curvature, manifolds of constant curvature. Topics vary from year to year. May be repeated for credit by petition.

When it runs

Fall 2025

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.

Checking the Schedule of Classes…

Requisites

Official UCLA wording
Requisites: courses 226A, 226B.

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Requires

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

MATH 234

MATH 226ADifferential Geometry
- MATH 225ASmooth Manifolds
MATH 226BDifferential Geometry
- MATH 225ASmooth Manifoldsanother path to it

2 direct requisites. The whole upstream is here — 4 courses over 2 levels. 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.