**Seminar for Geometry, education and
visualization with applications
**

**PROGRAM**

MATEMATICKI INSTITUT SANU

Seminar geometriju, obrazovanje i vizualizaciju sa primenama

__PLAN RADA ZA SEPTEMBAR 2008.__

**
CETVRTAK, 4. sept. 2008. u 18 sati, sala BIM
Eduardo Hulett, FaMAF, Cordoba, Argentina
Harmonic maps of surfaces with maximal isotropy dimension into
Lorentz pseudospheres Sn and their harmonic sequences
**

**
Abstract: There is a well-established theory for the study of harmonic
maps of Riemann surfaces in euclidean spheres Sn which involves the
construction of the so-called harmonic sequence of the map in question.
Bolton, Pedit and Woodward (1995) considered superconformal maps
f:M→Sn which are maps having a non-terminating harmonic sequence
of maximal length.
In a recent paper we have been able to show that the idea of the
construction of the harmonic sequence can be extended to deal with the
class of conformal harmonic maps of Riemann surfaces with maximal
isotropy dimension into Lorentz pseudospheres or De Sitter spaces Sn.
These maps (also called superconformal harmonic) have many similarities
with those maps considered by Bolton, Pedit and Woodward.
Part 1: In the first talk we will review some basic basic concepts of
harmonic maps and will establish the main properties of the harmonic
sequence of a superconformal harmonic map f:M→Sn , n≥3. Also
we will introduce the normal curvatures of f and derive some curvature
identities. Lastly we will derive the Toda or compatibility equations for
the existence of the harmonic sequence.
**

**
CETVRTAK, 11. sept. 2008. u 18 sati, sala BIM
Eduardo Hulett, FaMAF, Cordoba, Argentina
Harmonic maps of surfaces with maximal isotropy dimension into
Lorentz pseudospheres Sn and their harmonic sequences
**

**
Part 2: In the second talk we will discuss rigidity and linear fullness
properties of superconformal harmonic maps. Also we will report on
some recent (unpublished) results on the twistorial contruction of these
maps.
**

**
**

**
Sednice seminara odrzavaju se u zgradi Matematickog fakulteta
Beograd, Studentski trg 16, na petom spratu u sali 843.**

Rukovodilac Seminara
**dr Srdjan Vukmirovic
**