Type: Seminar

Distribution: World

Expiry: 22 Jul 2010

Auth: carberry@60-241-127-220.static.tpgi.com.au (carberry) in SMS-WASM

Dr Esther Vergara of the Universite de Brest will be giving a geometry seminar from 12:05-12:55pm on Thursday July 22 in Carslaw 707A. Harmonicity of geometric structures From a very well-known functional of energy - the one for harmonic maps- we introduce the vertical functional of energy and its correspondent associated Euler-Lagrange equation. The critical points of this vertical functional of energy are `harmonic sections’. In particular, we study the harmonic sections of the twistor bundle since they are associated to geometric structures. We rewrite the Euler-Lagrange equation for the vertical functional of energy in terms of the geometric structure only. Equations for harmonicity of almost complex manifolds, almost contact manifolds and f-structures are provided, as well as representative examples in each case.