Complete manifolds of non-negative sectional curvature largely reduce to the compact case
In mathematics, the soul theorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature to that of the compact case. Jeff Cheeger and Detlef Gromoll proved the theorem in 1972 by generalizing a 1969 result of Gromoll and Wolfgang Meyer. The related soul conjecture, formulated by Cheeger and Gromoll at that time, was proved twenty years later by Grigori Perelman.
In mathematics, the soultheorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature...
its finite cover is diffeomorphic to a nil manifold. Cheeger–Gromoll's soultheorem. If M is a non-compact complete non-negatively curved n-dimensional Riemannian...
In 1972, Jeff Cheeger and Detlef Gromoll established their important soultheorem. It asserts that every complete Riemannian metric of nonnegative sectional...
S} is called the soul of M {\displaystyle M} . In particular, this theorem implies that M {\displaystyle M} is homotopic to its soul S {\displaystyle...
declined the Medal. Perelman was awarded an EMS prize for his proof of the Soultheorem, but he declined the prize. Olson, Steve (2004). Count Down: Six Kids...
The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges....
The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type...
On the Soul (Greek: Περὶ Ψυχῆς, Peri Psychēs; Latin: De Anima) is a major treatise written by Aristotle c. 350 BC. His discussion centres on the kinds...
2023, Rumpf played the main role as Marguerite in the film Marguerite's Theorem directed by Anna Novion. It premiered at the 76th Cannes Film Festival...
Pythagoras is metempsychosis, or the "transmigration of souls", which holds that every soul is immortal and, upon death, enters into a new body. He may...
produce every theorem. The actual notion of computation was isolated soon after, starting with Gödel's incompleteness theorem. This theorem showed that...
such as the Pythagorean theorem. The theory of Forms is first introduced in the Phaedo dialogue (also known as On the Soul), wherein Socrates disputes...
specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in...
following works exhibited there permanently: 1) Rhythm’s breacktrough 2) Soultheorem. Tribute to Grigory Perelman, 3) Trascendentsd 2. In 2022 he participated...
a surname (including a list of people with the name) Lovelock's theorem, a theorem about gravity Lovelock theory of gravity, an extension of Einstein's...
mathematics, Thales is the namesake of Thales's theorem, and the intercept theorem can also be known as Thales's theorem. Thales was said to have calculated the...
relations, a set of equations in thermodynamics Maxwell's theorem, in probability theory Maxwell's theorem (geometry) James Clerk Maxwell Telescope, on Mauna...
Duality (mathematics), translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often...
use generalized Lagrange multipliers for mathematical optimization. His theorem, published in 1963, relates the Lagrangian bidual to the primal problem...
calculus Fidelity Final anthropic principle Final cause Formal cause Formal theorem Form of the Good Four causes Freedom Free will Friendship Further facts...
Catharsis for post production in 2018. In 2023, Fish engineered the track "Theorem" by Puscifer from their album, Existential Reckoning: Re-Wired. Fish also...
tool used to check a workpiece against its allowed tolerances No-go theorem, a theorem that shows that an idea is not possible even though it may look attractive...
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