# Latest Riemannian geometry Stories

Mathematicians from National University of Singapore and Nanjing University uncover a new mathematical method by challenging age-old assumptions of renowned mathematicians T. Aubin, A. Chang, and P. Yang Mathematically, is it possible to continuously deform a rough sphere into a perfect sphere? Under what situations can we solve the differential equations? Professor Xu Xingwang of the Department of Mathematics at National University of Singapore (NUS), along with Dr Chen Xuezhang from...

New research from the University of North Carolina at Chapel Hill School of Medicine finds that aerobic activity may keep the brain young.In the study published July 9 in the American Journal of Neuroradiology, physically active elderly people showed healthier cerebral blood vessels. Researchers led by Elizabeth Bullitt, M.D., Van L. Weatherspoon Distinguished Professor of neurosurgery, used non-invasive magnetic resonance (MR) angiography to examine the number and shape of blood vessels in...

Academic makes key additions to the Schwarz-Christoffel formulaA problem which has defeated mathematicians for almost 140 years has been solved by a researcher at Imperial College London.Professor Darren Crowdy, Chair in Applied Mathematics, has made the breakthrough in an area of mathematics known as conformal mapping, a key theoretical tool used by mathematicians, engineers and scientists to translate information from a complicated shape to a simpler circular shape so that it is easier to...

MADRID, Spain (AP) - The Poincare conjecture involves topology, a branch of math that studies shapes. It essentially says that in three dimensions you cannot transform a doughnut shape into a sphere without ripping it, although any shape without a hole can be stretched or shrunk into a sphere. There is a catch: the space has to be finite. Imagine an ant crawling on an apple in a straight line. It can only walk so far before it's back where it started. Even though the apple has three...

## Latest Riemannian geometry Reference Libraries

Geodesic -- In mathematics and specifically in differential geometry, a geodesic is a path that furnishes shortest paths between any points on it that are close enough together. The most familiar examples are the straight lines in Euclidean geometry. In more general spaces the geodesics can be more complicated, but one often still thinks of them as "straight" in a sense. On a sphere, for instance, the geodesics are the great circles. The shortest path from point A to point B on a...

- The hard inner (usually woody) layer of the pericarp of some fruits (as peaches or plums or cherries or olives) that contains the seed.