The Euler number of unit tangent bundles of surfaces

Posted on:2012-10-07

Degree:M.A

Type:Thesis

University:University of Southern California

Candidate:Constantin, Marius

Full Text:PDF

GTID:2450390011955751

Subject:Applied Mathematics

Abstract/Summary:

We investigate the Euler number of bundles over surfaces with fiber the circle S1. We connect this quantity with the existence problem for sections of the bundle. We then compute the Euler number of the unit tangent bundles of various surfaces and deduct a general formula for orientable surfaces of any genus.

Keywords/Search Tags:

Unit tangent bundles, Surfaces, Euler number

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