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12 giu 2024 · The main character here is a quaternion-Kahler manifold, but the legacy of Marcel Berger is in the background all the time. In the third part we meet legendary distributions, which are subbundles in the tangent bundle of one of our main characters.
17 giu 2024 · There is a standard technique (see for example Berger (2004)) for computing the change of variables to normal coordinates u, v at a point as a formal Taylor series expansion. If the coordinates x, y at (0,0) are locally orthogonal, write x(u,v) = αu + L(u,v) + λ(u,v) + … y(u,v) = βv + M(u,v) + μ(u,v) + …
20 giu 2024 · While studying the book Geometry II by Marcel Berger, I came across a theorem stating that 9 points in $P\mathbb{R}^3$ define a quadric. However, the book does not provide examples on this topic. Later, Berger gives a beautiful example of how to find the conic that passes through 5 given points.
6 giorni fa · Marcel Berger bezeichnet die Parzelle als eine wertvolle Landreserve. «Ihr Wert und ihre Bedeutung werden sich in den folgenden Jahren und Jahrzehnten nicht verringern, im Gegenteil.» Deshalb sei es richtig, einen neuen Baurechtsvertrag ausgehandelt zu haben.
6 giorni fa · World number 1 ranked male tennis players is a year-by-year listing of the male tennis players who were ranked as world No. 1 by various contemporary and modern sources. The annual source rankings from which the No. 1 players are drawn are cited for each player's name, with a summary of the most important tennis events of each year also included.
3 giorni fa · The book “A Panoramic View of Riemannian Geometry” by Marcel Berger includes a number of open problems.
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