instruction:
In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
question:
Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.
answer:
Science


question:
Norman and Jensen created triangles in which they plot chemical species according to this quantity. In one model of this quantity, electrons distribute to minimize it. Besides the Allred-Rochow definition, Mulliken's original definition of this quantity involved taking the mean of the(*) electron affinity and the first ionization energy. Dissociation energies between two elements are used to calculate the Pauling scale of this quantity, on which fluorine has the highest value. For 10 points, name this property that refers to an atom's ability to attract electrons.
answer:
Science


question:
The largest factory producing crafts in the style of this period was at Meissen, near Dresden. In Germany its leading sculptor was Ignaz Gunther, while in France Etienne-Maurice Falconet was celebrated for his porcelain sculptures produced at Sevres. In Catholic Germany, the churches of Neumann and Dominikus Zimmerman exemplify this style, while in Italy its influence was confined primarily to Venice. Its primary Venetian proponent was the painter of The Apotheosis of the Spanish Republic and Tarquin and Lucretia, Giambattista Tiepolo, but it was most prominent in France, whose painters of this style included Francois Boucher, Antoine Watteau, and the artist of The Swing. FTP name this period of art that directly followed the Baroque, known for its overly ornate style as exemplified by Jean-Honore Fragonard.
answer:

Fine Arts