A quotient space approach to model nanotori and determine their symmetry groups

• Main Authors: Loyola, Mark, De Las Peñas, Ma. Louise Antonette N, Santoso, Eko Budi, Estrada, Grace M
• Format: text
• Published: Archīum Ateneo 2014
• Subjects: Geometry and Topology; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/41; https://aip.scitation.org/doi/10.1063/1.4882549
• Institution: Ateneo De Manila University

This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the symmetry group of the embedded toroidal quotient space in the 4-dimensional flat torus is accomplished using fundamental results from algebra and the theory of manifolds. The realizat...