Chapter 5, #17

Chapter 6, #7

Chapter 7, # 6

Chapter 7, #11

Show that the distribution in R3 given by the equation:

d z - y d x = 0

is nowhere integrable.

## Syllabus

## Tuesday, October 17, 2006

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A first course in Differential Geometry, covering: Vector bundles -including the tangent bundle, vector fields, differential forms, Riemannian metrics, symplectic structures, and a general discussion of tensors, and connections from a variety of viewpoints. Depending on time and the sophistication of the audience we will proceed to more advanced subjects. For example a discussion of the h-principle and its role in differential geometry.

## Syllabus

## Lecturer

## Course texts

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- Joseph Coffey
- coffey@math.stanford.edu 381N 646-234-6840 Office hours: Mon 3-4, Wed 3-4

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