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What would a wormhole really look like? It's unlikely that wormholes truly exist, but here's what they would look like if ...
We prove that a sphere-foliated minimal or constant mean curvature hypersurface in hyperbolic space of dimension ≥ 5 is one of the following: hypersurface of rotation around a geodesic, geodesic ...
First came the 19 th -century Gauss-Bonnet theorem, which relates the total local curvature of the surface of a geometrical object, such as a sphere or a doughnut, to the number of holes in the ...
Gaussian Curvature Directs Stress Fiber Orientation and Cell Migration. Biophysical Journal, 2018; 114 (6): 1467 DOI: 10.1016/j.bpj.2018.01.039 ...
Scientific proof that Earth is round (and how to explain it) To put it bluntly, we know more about the curvature of Earth than almost any other topic in the realm of physical science. There are ...
Martin Chuaqui, Ricci Curvature and a Criterion for Simple-Connectivity on the Sphere, Proceedings of the American Mathematical Society, Vol. 122, No. 2 (Oct., 1994), pp. 479-485 ...