The 1993 BFA Graduating Class Department of Visual Arts

The Graduate students in the Visual Arts program have selected for inclusion in this cataloguepieces that symbolize the Acomplishments of the years of study and application. The images are the summary of a complex of learning experiences, both theoretical and applied. They reflect the critical processes of the studio, the Library, the environment and the traditional classroom; they are the results of dynamic and rigorous interaction between teachers and colleagues, peers and mentors, throughout this undergraduate experience.

Geometric properties of 2-dimensional minimal surfaces in a sub-Riemannian manifold which models the Visual Cortex

In this paper we study the notion of degree forsubmanifolds embedded in an equiregular sub-Riemannian manifold and we provide the definition of their associated area functional. In this setting we prove that the Hausdorff dimension of a submanifold coincides with its degree, as stated by Gromov. Using these general definitions we compute the first variation for surfaces embedded in low dimensional manifolds and we obtain the partial differential equation associated to minimal surfaces. These minimal surfaces have several applications in the neurogeometry of the visual cortex.