In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its arithmetical, ergodic, and topological manifestations. See also a slower-paced Introduction to systolic geometry.
Read more about Systolic Geometry: The Notion of Systole, Property of A Centrally Symmetric Polyhedron in 3-space, Flavor, Gromov's Systolic Inequality, Gromov's Stable Inequality, Lower Bounds For 2-systoles, Schottky Problem, Lusternik–Schnirelmann Category, Systolic Hyperbolic Geometry, Relation To Abel–Jacobi Maps, Related Fields, Volume Entropy, Filling Area Conjecture, Surveys
Famous quotes containing the word geometry:
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)