In mathematics—specifically, in Riemannian geometry—a Wiedersehen pair is a pair of distinct points x and y on a (usually, but not necessarily, two-dimensional) compact Riemannian manifold (M, g) such that every geodesic through x also passes through y, and the same with x and y interchanged.
For example, on an ordinary sphere where the geodesics are great circles, the Wiedersehen pairs are exactly the pairs of antipodal points.
If every point of an oriented manifold (M, g) belongs to a Wiedersehen pair, then (M, g) is said to be a Wiedersehen manifold. The concept was introduced by the Austro-Hungarian mathematician Wilhelm Blaschke and comes from the German term meaning "seeing again". As it turns out, in each dimension n the only Wiedersehen manifold (up to isometry) is the standard Euclidean n-sphere. Initially known as the Blaschke conjecture, this result was established by combined works of Berger, Kazdan, Weinstein (for even n), and Yang (odd n).
In mathematics—specifically, in Riemannian geometry—a Wiedersehenpair is a pair of distinct points x and y on a (usually, but not necessarily, two-dimensional)...
He played the role of Leonard "Oz" Osborne in the television show Auf Wiedersehen, Pet and the title role in Spender. He also recorded a 1992 number one...
Lads, Whatever Happened to the Likely Lads?, Porridge, Lovejoy and Auf Wiedersehen, Pet. Born in Westcliff-on-Sea, Essex, England, Clement was educated...
Spaced. Russell has also made appearances in Still Game, Happiness, Auf Wiedersehen, Pet, Cracker and The Railway Children. From 2005 to 2006, Russell played...
King also appeared in the second episode of the fourth series of Auf Wiedersehen, Pet in 2004. In 2018, King appeared in four episodes of the Sky One...
and legs inside the bobsled. And be sure to watch your children. Auf Wiedersehen!" Another variant goes, "For your safety, remain seated with your seat...
recurring television roles as Wyman Norris in the revived series of Auf Wiedersehen, Pet (2002–2004) and as Mickey Smith in the first two series of the revival...
Copenhagen. Bang is stepfather to Lis' two children, Sarah and Bella. The pair have lived together in Frederiksberg, Copenhagen since 2008. 2010: Dislocated...
Award nomination: Player Piano 1960 Writers Guild of America Award: "Auf Wiedersehen" 1960 Hugo Award for Best Novel finalist: The Sirens of Titan 1964 Hugo...
The Toad plans to have Roddy and Rita frozen with liquid nitrogen, but the pair escape. Rita takes the ruby, and a unique electric master cable required...
May 2013. Retrieved 27 August 2011. Morton, David (17 May 2019). "Auf Wiedersehen, Kev: How Keegan flew out of Newcastle United". Evening Chronicle. Newcastle-upon-Tyne...
Atlantis Action 1985 English Atomic Mission Adventure 1984 English Auf Wiedersehen Monty Platformer 1987 English Auriga Shoot'em up 1986 English Auto Zone...
Tajja Isen A Touch of Frost - Barbara Thompson and John Hiseman Auf Wiedersehen, Pet ("Breaking Away" / "Livin' Alright") - Ian La Frenais and David...
Retrieved 22 December 2020. Pérez, Gillian Morán (4 March 2023). "Auf Wiedersehen To Alpine Village As Shop Owners Pack Up On Word Longtime German American...
charity fight with professional boxer "Sugar" Shane Mosley. 6 6 "Auf Wiedersehen, Mitches" Stan Lathan Wayne Stamps February 19, 2013 (2013-02-19) 2.05...
Costello (2023) Live at the Café de Paris (1954) Dietrich in Rio (1959) Wiedersehen mit Marlene (1960) Dietrich in London (1964) Мари = Marie–Marie (1964)...
the 2nd movement of Poulenc's Flute Sonata; Mischa Spoliansky's "Auf Wiedersehen"; and "They are not long the weeping and the laughter" from Delius' Songs...
runway and wishing the eliminated designer farewell her catchphrase, Auf Wiedersehen (formal German for goodbye – literal translation "until we meet again")...
the Geordie accent by studying episodes of the 1980s comedy series Auf Wiedersehen, Pet, which featured lead characters from Newcastle. Strong later claimed...
Pitchfork. Retrieved 29 September 2023. Lind, J. R. (14 March 2024). "Auf Wiedersehen, Baby: U2 Wraps Sphere Run". Pollstar. Retrieved 14 March 2024. Frankenberg...
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