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.

[Q]: 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.
[A]: Science


[Q]: artist was inspired to found a movement in his correspondences with Eva Watson-Schutze. In one exhibition of his work, he claimed "I am an American. . . the search for truth is my obsession. " He executed a series of abstract, subject-free works called Equivalents. One of his works shows a narrow gangway that separates an upper deck of men from a lower deck of women and children on a boat. This artist of The Steerage and founder of the journal Camera Work also depicted a certain woman holding her hands to her face and clutching a cattle skull in many photos. For 10 points, name this Photo Secession founder who took many pictures of his wife, Georgia O'Keeffe.
[A]: Fine Arts


[Q]: The southern branch of this movement erroneously identified the Magyars as Slavs. Their leader, Colonel Paul Pestel, proposed Jacobin-style dictatorship but departed from his French model in advocating communal land ownership as a solution to the deprivation of the peasants. The competing Northern Society proposed instead emancipation and a democratic system in the constitution of Nikita Muraviev, while radicals coalesced around Kondraty Ryleev. The military officers who met in Senate Square were dispersed and exiled to Siberia. FTP, name this movement which, upon the abdication of Constantine, resisted the accession of Nicholas I as Tsar in the last month of 1825.
[A]:
History