Class of continuous maps between Riemannian manifolds of the same dimension
In the mathematical field of analysis, quasiregular maps are a class of continuous maps between Euclidean spaces Rn of the same dimension or, more generally, between Riemannian manifolds of the same dimension, which share some of the basic properties with holomorphic functions of one complex variable.
In the mathematical field of analysis, quasiregularmaps are a class of continuous maps between Euclidean spaces Rn of the same dimension or, more generally...
In mathematics, quasiregular may refer to: Quasiregular element, in the context of ring theory Quasiregularmap in analysis Quasiregular polyhedron, in...
addresses the notion of quasiregularity in the context of ring theory, a branch of modern algebra. For other notions of quasiregularity in mathematics, see...
functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregularmaps and minimal surfaces. This article describes...
hemipolyhedra occur in pairs as facetings of the quasiregular polyhedra with four faces at a vertex. These quasiregular polyhedra have vertex configuration m.n...
the J(R) is necessarily quasiregular, not every quasiregular element is necessarily a member of J(R). While not every quasiregular element is in J(R), it...
every vertex. A third complex apeirogon, sharing the same vertices, is quasiregular, which alternates 2-edges and 6-edges. Wikimedia Commons has media related...
edge-transitive (i.e. isotoxal) is said to be a quasiregular dual. Some theorists regard these figures as truly quasiregular because they share the same symmetries...
symmetric graphs are formed by the vertices and edges of the regular and quasiregular polyhedra: the cube, octahedron, icosahedron, dodecahedron, cuboctahedron...
Then in the 10th century Abu'l Wafa described the convex regular and quasiregular spherical polyhedra. As with other areas of Greek thought maintained...
Conway for clarity of concatenated prefix numbers in the naming of quasiregular polyhedra, though not all sources use it. Polygons have been known since...
analysis. His main topics of interest include geometric function theory, quasiregular and quasiconformal mappings, computational potential theory, and generalized...
hosohedron and a dihedron. All of these have Euler characteristic 2. Quasiregular polyhedron Semiregular polyhedron Uniform polyhedron Regular polytope...
tetrahedron correspond to those of a cube which map each tetrahedron to itself; the other symmetries of the cube map the two to each other. One such regular tetrahedron...
Stellations of Rhombic Triacontahedron EarthStar globe – Rhombic Triacontahedral map projection IQ-light—Danish designer Holger Strøm's lamp Make your own Archived...
arXiv:0804.0135. (See page 3.) Heinonen, Juha (2003). "The branch set of a quasiregular mapping by Juha Heinonen". Proceedings of the ICM, Beijing 2002. Vol...
MR 1460032. Lagarias, J. C. (1996), "Meyer's concept of quasicrystal and quasiregular sets", Communications in Mathematical Physics, 179 (2): 365–376, doi:10...
Omar M. (December 2002), "Three-periodic nets and tilings: regular and quasiregular nets" (PDF), Acta Crystallographica Section A: Foundations of Crystallography...
for storing and manipulating maps of the cosmic microwave background, and in computer graphics for storing environment maps. Dodecahedron Rhombic triacontahedron...
not symmetric enough to meet the formal definition of chirality. The quasiregular polyhedra and their duals, such as the cuboctahedron and the rhombic...
Alex Eskin, Billiards and lattices Juha Heinonen, On the existence of quasiregular mappings Bennett Chow, Harnack estimates of Li–Yau–Hamilton type for...
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