The twisted torus link T(p, q; r, s) is obtained by twisting r parallel strands of the (p, q)-torus a total s full times. In this paper we find all links which are hyperbolic for $$\vert s\vert >3$$ .

We investigate U(1)-equivariant deformations of C. LeBrun’s selfdual metric with torus action. We explicitly determine all U(1)-subgroups of the torus for which one can obtain U(1)-equivariant deformations that do not preserve the whole of the torus action. This gives many new self-dual metrics with U(1)-action which are not conformally isometric to LeBrun metrics. We also count the dimension o...

Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established. Pacs number(s): 03...

Active Galactic Nuclei (AGN) are amongst the most luminous objects in the universe. The source of their activity is accretion onto a supermassive black hole in the center of the galactic nucleus. The various phenomena observed in AGN are explained in a common unification scheme. The cornerstone of this unification scheme of AGN is the presence of an optically and geometrically thick dust torus ...