SMS scnews item created by Emma Carberry at Sat 17 Jul 2010 1543
Type: Seminar
Distribution: World
Expiry: 22 Jul 2010
Calendar1: 22 Jul 2010 1205-1255
CalLoc1: Carslaw 707A
Auth: carberry@60-241-127-220.static.tpgi.com.au (carberry) in SMS-WASM

# Geometry Seminar: Vergara -- Harmonicity of Geometric Structures

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.
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