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Whether you call it effervescent, fizzy, or sparkling, carbonated water is making a comeback as a beverage. Aside from quenching thirst, researchers at the University of Illinois at Urbana-Champaign h...
A heel-down posture -- a feature that separates great apes, including humans, from other primates -- confers advantages in fighting, according to a new study published today in the journal Biolog...
Flat-footed fighters     Flat-footed  fighters       2017/3/13
Walking on our heels, a feature that separates great apes, including humans, from other primates, confers advantages in fighting, according to a new University of Utah study published Feb. 15 in&...
A heel-down posture -- a feature that separates great apes, including humans, from other primates -- confers advantages in fighting, according to a new study published today in the journal Biolog...
Many things in the natural world are geometrically chiral, meaning they cannot be superimposed onto their mirror image. Think hands — right and left hands are mirror images but if you transplanted a r...
We introduce the notion of recurrent geodesic rays in a complete °at Lorentz 3-manifold. We completely classify the dynamical behavior of geodesics in cyclic quotients, and apply this classiˉcation...
A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
Let G be a solvable linear Lie group. We show that for every flat pnncipal G-bundle { over a CW-complex M, there is a finite-sheeted covering spacep: M-3 M such that p*C is trivial as a principal ...
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then ge...
Hothouse climates in Earth's geologic past, such as the Eocene epoch, are thought to have been caused by the release of large amounts of carbon dioxide and/or methane, which had been stored as carbon ...
We study the performance of Monte Carlo simulations that sample a broad histogram in energy by determining the mean first-passage time to span the entire energy space of d-dimensional ferromagnetic Is...
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ sa...
Abstract: In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci solitons with positive Ricci curvature is isometric to the Bryant soliton. We also show th...
Abstract: Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 mat...

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