(Nanowerk News) Hyperbolic metamaterials (HMMs), which have an extremely high anisotropy with a hyperbolic dispersion relation, are rising as an innovative method of manipulating light. HMMs have ...

Anti-de Sitter (AdS) geometry and hyperbolic manifolds form an intricate and influential domain within modern geometry, with profound implications in both theoretical physics and pure mathematics. The ...

For any group G, I will define the set of hyperbolic structures on G, denoted H(G), which consists of equivalence classes of (possibly infinite) generating sets of G such that the corresponding Cayley ...

"Hyperbolic metamaterials" could bring optical advances including powerful microscopes, quantum computers and high-performance solar cells. The graphic at left depicts a metamaterial's "hyperbolic ...

Motivated by a new kind of initial boundary value problem (IBVP) with a free boundary arising in wave-structure interaction, we propose here a general approach to one-dimensional IBVP as well as ...

The exhibition hall is 135m long and enclosed by two hyperbolic paraboloid roofs, rising to a central ridge 29m high. The roof structure consists of cranked trusses formed from straight tubular ...

Proceedings of the American Mathematical Society, Vol. 146, No. 7 (July 2018), pp. 3167-3178 (12 pages) By using non-positively curved cubings of prime alternating link exteriors, we prove that ...

This originally appeared in the July/August issue of Discover magazine as "Your Hyperbolic Mind." Support our science journalism by becoming a subscriber. The human brain is both a marvel and a ...