[permalink] [id link]
Grigori Perelman sketched a proof of the full geometrization conjecture in 2003 using Ricci flow with surgery.
from
Wikipedia
Some Related Sentences
Grigori and Perelman
* The Poincaré theorem ( proven by Grigori Perelman )
* The Poincaré conjecture-solved, by Grigori Perelman
* 1966 – Grigori Perelman, Russian mathematician
After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.
The actual solution was not found until Grigori Perelman published his papers.
Grigori Perelman.
In November 2002, Russian mathematician Grigori Perelman posted the first of a series of eprints on arXiv outlining a solution of the Poincaré conjecture.
* The Work of Grigori Perelman, talk by John Lott ( University of Michigan ) International Congress of Mathematicians 2006 Presentation, for mathematicians in all areas, excellent graphics
* June 13 – Grigori Perelman, Russian mathematician
The conjecture was proved by Grigori Perelman in 2002 – 2003.
The Poincaré conjecture, proved in 2003 by Grigori Perelman, provides that the 3-sphere is the only three-dimensional manifold ( up to homeomorphism ) with these properties.
The Poincaré conjecture, proved in 2002 / 2003 by Grigori Perelman is a prominent application of this idea.
The conjecture was later proven by Grigori Perelman, following the program of Richard Hamilton.
Others, such as Grigory Margulis, Jean-Christophe Yoccoz, Stanislav Smirnov, Terence Tao and Grigori Perelman, have gone on to become notable mathematicians.
In 2003 Grigori Perelman sketched a proof of the geometrization conjecture by showing that the Ricci flow can indeed be continued past the singularities, and has the behavior described above.
Grigori Yakovlevich Perelman (; ; born 13 June 1966 ) is a Russian mathematician who has made landmark contributions to Riemannian geometry and geometric topology.
Grigori Perelman was born in Leningrad, Soviet Union ( now Saint Petersburg, Russia ) on 13 June 1966, to Jewish parents, Yakov ( who now lives in Israel ) and Lubov.
ca: Grigori Iakovlevitx Perelman
de: Grigori Jakowlewitsch Perelman
et: Grigori Perelman
fr: Grigori Perelman
id: Grigori Perelman
ht: Grigori Perelman
nl: Grigori Perelman
Grigori and proof
It is the primary tool used in Grigori Perelman's solution of the Poincaré conjecture, as well as in the proof of the Differentiable sphere theorem by Brendle and Schoen.
In 2002 Grigori Perelman announced a proof of the three-dimensional Poincaré conjecture, using Richard Hamilton's Ricci flow, an idea belonging to the field of geometric analysis.
He is best known for having discovered the Ricci flow and suggesting the research program that ultimately led to the proof, by Grigori Perelman, of the Thurston geometrization conjecture and the solution of the Poincaré conjecture.
Grigori and full
Major Grigori Bortsov ( Charles Bronson ), who is selected for his photographic memory, memorizes the contents of the only other copy of the Telefon Book and is sent to find and stop Nikolai Dalchimsky quickly and quietly, before the politicians on either side learn what is going on and either embarrass the KGB or start a full scale nuclear war.
Grigori and geometrization
Not every 3-manifold admits a geometry, but Thurston's geometrization conjecture proved by Grigori Perelman states that every 3-manifold can be cut into pieces that are geometrizable.
The conjecture is implied by Thurston's geometrization conjecture, which was proven by Grigori Perelman in 2003.
Grigori and conjecture
For n = 2, the h-cobordism theorem is true – it is equivalent to the Poincaré conjecture, which has been proved by Grigori Perelman.
All homotopy n-spheres are homeomorphic to the n-sphere by the generalized Poincaré conjecture, proved by Stephen Smale in dimensions bigger than 4, Michael Freedman in dimension 4, and Grigori Perelman in dimension 3.
The topological generalized Poincaré conjecture is that any n-dimensional homotopy sphere is homeomorphic to the n-sphere ; it was solved by Stephen Smale in dimensions five and higher, Michael Freedman in dimension 4, and for dimension 3 by Grigori Perelman in 2005.
The elliptization conjecture, proved by Grigori Perelman, states that conversely all 3-manifolds with finite fundamental group are spherical manifolds.
* Grigori Perelman, Russian mathematician who proved the Poincaré conjecture
Grigori and 2003
His movie roles to date include 15 Minutes ( 2001 ), Blade II ( 2002 ), Bulletproof Monk ( 2003 ), The Bourne Supremacy ( 2004 ), as Grigori Rasputin in Hellboy ( 2004 ), Running Scared ( 2006 ), Largo Winch ( 2008 ), RocknRolla ( 2008 ) and Orphan ( 2009 ).
Grigori and with
Shakespeare experts Sir John Gielgud and Kenneth Branagh consider the definitive rendition of the Bard's tragic tale to be the 1964 Russian film Gamlet () based on a translation by Boris Pasternak and directed by Grigori Kozintsev, with a score by Dmitri Shostakovich.
In 1930 the esteemed Soviet film director Sergei Eisenstein went to the United States with fellow director Grigori Aleksandrov to study Hollywood ’ s filmmaking process.
In the autumn of 1928, with October still under fire in many Soviet quarters, Eisenstein left the Soviet Union for a tour of Europe, accompanied by his perennial film collaborator Grigori Aleksandrov and cinematographer Eduard Tisse.
Zinoviev and Kamenev allied with Lenin's widow, Nadezhda Krupskaya and Grigori Sokolnikov, the People's Commissar for Finance and a candidate Politburo member.
Both men were organizing underground Communist cells in cooperation with Grigori Voitinsky, a Comintern agent, but Zhou apparently did not meet Voitinsky at this point.
The committee also consulted closely on decisions with the Comintern representatives in Shanghai, headed by Grigori Voitinsky.
The Tsarina relied on the counsel of Grigori Rasputin, a Russian peasant and wandering starets or " holy man ," and credited his prayers with saving the ailing Tsarevich on numerous occasions.
Her mother relied on the counsel of Grigori Rasputin, a Russian peasant and wandering starets or " holy man ," and credited his prayers with saving the ailing Tsarevich on numerous occasions.
The same year he played the role as Grigori Potemkin in TV film Catherine The Great, with Mark and Stephen too.
He was born with haemophilia ; his mother's reliance on the starets Grigori Rasputin to treat the disease helped bring about the end of the Romanov dynasty.
One possible exception is the Grigori who, led by Azazel, descended on Mount Hermon and copulated with earthly women out of lust.
The Second Book of Enoch refers to " the Grigori, who with their prince Satanail rejected the Lord of light ".
The Grigori are identified with the Watchers of 1 Enoch.
The Grigori who " went down on to earth from the Lord's throne ", married women and " befouled the earth with their deeds ", resulting in confinement under earth ( 2 Enoch 18: 1-7 ) In the longer recension of 2 Enoch, chapter 29 refers to angels who were " thrown out from the height " when their leader tried to become equal in rank with the Lord's power ( 2 Enoch 29: 1-4 ).
In 1928, with the advent of sound film, Pudovkin, Sergei Eisenstein and Grigori Aleksandrov signed the Manifest of Sound, in which the possibilities of sound are debated, and always understood as a complement to image.
Gordon and Alyx are forced to take separate ways to Nova Prospekt ; Gordon is to detour through the headcrab zombie-infested town of Ravenholm, with the help of its last survivor, Father Grigori.
His delight for rigid discipline alienated the palace guards, and ultimately allowed Catherine II, with the help of her lover Grigori Orlov who led the palace guard regiments, to overthrow Peter II on July 9, 1762 Peter ’ s assassination symbolically showed the end of the era of palace revolutions.
ἐγρήγοροι, trans: egr &# 275 ;&# 769 ; goroi ; Slav transliteration, Grigori, " Watchers ", " those who are awake "; Chaldean, " guard ", " watcher ") is a term used in connection with angels.
They are located in the fifth heaven and identified as " the Grigori, who with their prince Satanail rejected the Lord of light ".
From 1970 Shafarevich with Valery Chalidze, Grigori Podyapolski and Andrei Tverdokhlebov was one of Sakharov's human rights investigators.
The second eldest son, Grigori Panteleevich Melekhov, is a promising young soldier who falls in love with Aksinia, the wife of Stepan Astakhov, a family friend.
0.184 seconds.