Fuji (apple) the exclusion of other varieties and Japan's apple imports remain low. Aomori Prefecture, home to the Fuji apple, is the best known apple growing region of Japan. Of the roughly 900,000 tons of Japanese apples produced annually, 500,000 tons come from Aomori. Outside Japan, the popularity of Fuji apples continues to grow. In 2016 and 2017, Fuji apples accounted for nearly 70% of China's 43 million tons grown. Since their introduction into the U.S. market in the 1980s, Fuji apples have gained popularity with American consumers — as of 2016, Fuji apples ranked number 3 on the US Apple Association's
History of manifolds and varieties History of manifolds and varieties The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups. The term "manifold" comes from German "Mannigfaltigkeit," by Riemann. In English, "manifold" refers to