Authors: Giordano Colò
Comments: 28 Pages.
We describe the deformations of moduli space M of Special Lagrangian
submanifolds in the compact case and we give a characterization of the
topology of M by using McLean theorem. By constructing Banach spaces
on bundle sections and by elliptical operators, we are able to use Hodge theory
to study the topology of the manifold. Starting from McLean results, for
which moduli spaces of compact special Lagrangian submanifolds is smooth
and its tangent space can be identified with harmonic 1-forms on the special
Lagrangian submanifolds, we can analyze deformation theory. Then we introduce
a Riemannian metric on M, from which we obtain other important
In this article, we highlight some properties of the Apollonius circles of rank - 1 associated with a triangle.