JSTOR Daily

Classification of singular differential invariants in (1 + 3)-dimensional space and integrability

Science Progress (1933-), Vol. 104, No. 4 (2021), pp. 1-26 (26 pages) Singularity is one of the important features in invariant structures in several physical phenomena reflected often in the ...
EurekAlert!

Discovery of novel octupole topological insulator in brillouin three-dimensional real projective space

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...
Scientific Research Publishing

Galactic Rotation Curves Explained in the 4DEU Framework by 3D Spatial Curvature from Local Gravitational Blocking of Cosmic Expansion: No Need for Dark Matter ()

The observed near flatness of galactic rotation curves has long been interpreted as evidence for large amounts of non-baryonic dark matter. Here we show that this phenom ...
JSTOR Daily

Analyzing geometric isometries of helical surfaces in five-dimensional Euclidean space

E. Bour, Théorie de la déformation des surfaces, Journal de l’ Êcole Imperiale Polytechnique 22, Cahier 39 (1862), 1-148. M. P. Do Carmo and M. Dajczer, Helicoidal surfaces with constant mean ...
Quanta Magazine

Mathematicians Find an Infinity of Possible Black Hole Shapes

In three-dimensional space, the surface of a black hole must be a sphere. But a new result shows that in higher dimensions, an infinite number of configurations are possible. The cosmos seems to have ...