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:
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
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