In mathematics, the soul theorem 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 soul theorem. If M is a non-compact complete non-negatively curved n-dimensional Riemannian...

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...

Look up Soul, soul, Söul, Sŏul, or soûl in Wiktionary, the free dictionary. A soul is the incorporeal essence of a living being. Soul(s) may also refer...

theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...

In 1972, Jeff Cheeger and Detlef Gromoll established their important soul theorem. It asserts that every complete Riemannian metric of nonnegative sectional...

constant Cheeger constant (graph theory) Cheeger–Müller theorem soul theorem splitting theorem Collapsing manifold L² cohomology Riemannian geometry Faculty...

declined the Medal. Perelman was awarded an EMS prize for his proof of the Soul theorem, but he declined the prize. Olson, Steve (2004). Count Down: Six Kids...

topological restrictions (such as the Cheeger–Gromoll soul theorem or Cartan–Hadamard theorem) on geodesically complete Riemannian manifolds of positive...

The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges....

Geometry". Graduate Texts in Mathematics. 171. Chapter 12, §12.4 The Soul Theorem, p. 463. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. ISSN 0072-5285...

The infinite monkey theorem states that a monkey hitting keys independently and at random on a typewriter keyboard for an infinite amount of time will...

inequality Gromoll–Meyer sphere Rational homotopy theory Splitting theorem Soul theorem Gromoll, Detlef; Klingenberg, Wilhelm; Meyer, Wolfgang (1968). Riemannsche...

following works exhibited there permanently: 1) Rhythm’s breacktrough 2) Soul theorem. Tribute to Grigory Perelman, 3) Trascendentsd 2. In 2022 he participated...

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...

with mathematical and scientific discoveries, such as the Pythagorean theorem, Pythagorean tuning, the five regular solids, the theory of proportions...

2 "Out of Asia" 25 September 1997 (1997-09-25) 3 "Fermat's Last Theorem" 2 October 1997 (1997-10-02) 4 "The Virus That Cures" 9 October 1997 (1997-10-09)...

Thales is the namesake of Thales's theorem, and the intercept theorem can also be referred to as Thales's theorem. Thales was said to have calculated...

バンめし♪ "御伽噺に幕切れを" (Otogibanashi ni Makugire wo) 夜叉姫神楽 from バンめし♪ "Red Cape Theorem" 🔒 メリー・バッド・メルヘン from バンめし♪ "ROOM" Blanc Bunny Bandit from バンめし♪ "逆さま♥シンデレラパレード"...

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...

produce every theorem. The actual notion of computation was isolated soon after, starting with Gödel's incompleteness theorem. This theorem showed that...

ancient times for his supposed mathematical achievement of the Pythagorean theorem. Pythagoras had been credited with discovering that in a right-angled triangle...

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...

Inferno, Purgatorio, and Paradiso. The poem discusses "the state of the soul after death and presents an image of divine justice meted out as due punishment...

developed the theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws. Enheduanna...

professor at Harvard University Michel Balinski 1954, known for Balinski's theorem; mathematician and economist, winner of the John von Neumann Theory Prize...

live with artists he has collaborated with. In 2023, Fish engineered "Theorem" by Puscifer from their album Existential Reckoning: Re-Wired. The same...

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...

the literature was to show under what conditions Arrow's impossibility theorem applied, as well as to extend and enrich the theory of social choice, informed...