Noncharacteristic embeddings of the $n$-dimensional torus in the $(n+2)$-dimensional torus

The infinite-dimensional torus

Investigation of the prevalence of Torus Mandibularis and Torus palatinus in Attendants of rafsanjan Dental school

the prevalence of Torus palatinus and Torus Mandibularis is widely different in various populations and races.this descriptive study was performed in 1999,to investigate the the prevalence of Torus Mandibularis and Torus palatinus in patients referring to Rafsanjan dental school.584 patients(268 men and 316 women) which were over 18 years old were examined.the information recorded in the questi...

Potential Theory on the Infinite Dimensional Torus*

During the last 15 years there has been developped an extensive potential theory for harmonic spaces. The main motivation has been to unify the study of the solutions to various elliptic and parabolic partial differential equations of second order on an open subset of IR" or more generally on a differentiable manifold. Classical potential theory in IR" is translation invariant and it is therefo...

operator on the two-dimensional torus. ∗

A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus. Abstract We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon deformation of the flat metric, study the corresponding Hamiltonian and discuss several families of...

On embeddings of snarks in the torus

A condition on cubic graphs G1 and G2 is presented, which implies that a dot product G1 · G2 exists, which has an embedding in the torus. Using this condition it is proved that for every positive integer n a dot product of n copies of the Petersen graph exists, which can be embedded in the torus. This disproves a conjecture of Watkins and Tinsley and answers a question by Mohar.