Thinstripe hermit crab Thinstripe hermit crab The thinstripe hermit crab, Clibanarius vittatus, is a species of hermit crab in the family Diogenidae. It is found in the Caribbean Sea, the Gulf of Mexico and the western Atlantic Ocean. Like other hermit crabs, "Clibanarius vittatus" lives inside the empty shell of a gastropod mollusc. This protects its soft abdomen and normally only its head and limbs project through the aperture of the shell. The chelipeds (claw-bearing legs) and claws of "Clibanarius vittatus" are small, both the same size, and covered in short bristles. When threatened, the animal retreats into the shell and the chelipeds
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