%0 Journal Article %T Differential Calculus on Quantum Spheres %A Martin Welk %J Mathematics %D 1998 %I arXiv %X We study covariant differential calculus on the quantum spheres S_q^2N-1. Two classification results for covariant first order differential calculi are proved. As an important step towards a description of the noncommutative geometry of the quantum spheres, a framework of covariant differential calculus is established, including a particular first order calculus obtained by factorization, higher order calculi and a symmetry concept. %U http://arxiv.org/abs/math/9802087v3